CINXE.COM

A Course on Group Theory - John S. Rose - Google Books

<!DOCTYPE html><html><head><title>A Course on Group Theory - John S. Rose - Google Books</title><link rel="stylesheet" href="/books/css/_ff77d0f0508c7e0bad470e7d6b7f28fa/kl_viewport_kennedy_full_bundle.css" type="text/css" /><link rel="stylesheet"href="https://fonts.googleapis.com/css2?family=Product+Sans:wght@400"><script src="/books/javascript/v2_ff77d0f0508c7e0bad470e7d6b7f28fa__en.js"></script><script>_OC_Hooks = ["_OC_Page", "_OC_SearchReload", "_OC_TocReload", "_OC_EmptyFunc", "_OC_SearchPage", "_OC_QuotePage" ];for (var _OC_i = 0; _OC_i < _OC_Hooks.length; _OC_i++) {eval("var " + _OC_Hooks[_OC_i] + ";");}function _OC_InitHooks () {for (var i = 0; i < _OC_Hooks.length; i++) {var func = arguments[i];eval( _OC_Hooks[i] + " = func;");}}</script><link rel="canonical" href="https://books.google.com/books/about/A_Course_on_Group_Theory.html?id=j-I7Zpq3GdIC"/><meta property="og:url" content="https://books.google.com/books/about/A_Course_on_Group_Theory.html?id=j-I7Zpq3GdIC"/><meta name="title" content="A Course on Group Theory"/><meta name="description" content="This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material."/><meta property="og:title" content="A Course on Group Theory"/><meta property="og:type" content="book"/><meta property="og:site_name" content="Google Books"/><meta property="og:image" content="https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC&amp;printsec=frontcover&amp;img=1&amp;zoom=1&amp;edge=curl&amp;imgtk=AFLRE731RWhBidnr-HTI3yNorSA2L8jMWUZAmCLGfF-C5qtd7u6k_E_ZPH9AnR3MmsCT07c9TOjWVbVKDJl9dlIQ9DqysVb9gBJncNnEp3w2wLML9Zxe51U07TxobVP34hPIaojy2Rt5"/><link rel="image_src" href="https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC&amp;printsec=frontcover&amp;img=1&amp;zoom=1&amp;edge=curl&amp;imgtk=AFLRE731RWhBidnr-HTI3yNorSA2L8jMWUZAmCLGfF-C5qtd7u6k_E_ZPH9AnR3MmsCT07c9TOjWVbVKDJl9dlIQ9DqysVb9gBJncNnEp3w2wLML9Zxe51U07TxobVP34hPIaojy2Rt5"/><script></script><style>#gbar,#guser{font-size:13px;padding-top:1px !important;}#gbar{height:22px}#guser{padding-bottom:7px !important;text-align:right}.gbh,.gbd{border-top:1px solid #c9d7f1;font-size:1px}.gbh{height:0;position:absolute;top:24px;width:100%}@media all{.gb1{height:22px;margin-right:.5em;vertical-align:top}#gbar{float:left}}a.gb1,a.gb4{text-decoration:underline !important}a.gb1,a.gb4{color:#00c !important}.gbi .gb4{color:#dd8e27 !important}.gbf .gb4{color:#900 !important} #gbar { padding:.3em .6em !important;}</style></head><body class=""><div id=gbar><nobr><a target=_blank class=gb1 href="https://www.google.com.sg/search?tab=pw">Search</a> <a target=_blank class=gb1 href="https://www.google.com.sg/imghp?hl=en&tab=pi">Images</a> <a target=_blank class=gb1 href="https://maps.google.com.sg/maps?hl=en&tab=pl">Maps</a> <a target=_blank class=gb1 href="https://play.google.com/?hl=en&tab=p8">Play</a> <a target=_blank class=gb1 href="https://www.youtube.com/?tab=p1">YouTube</a> <a target=_blank class=gb1 href="https://news.google.com/?tab=pn">News</a> <a target=_blank class=gb1 href="https://mail.google.com/mail/?tab=pm">Gmail</a> <a target=_blank class=gb1 href="https://drive.google.com/?tab=po">Drive</a> <a target=_blank class=gb1 style="text-decoration:none" href="https://www.google.com.sg/intl/en/about/products?tab=ph"><u>More</u> &raquo;</a></nobr></div><div id=guser width=100%><nobr><span id=gbn class=gbi></span><span id=gbf class=gbf></span><span id=gbe></span><a target=_top id=gb_70 href="https://www.google.com/accounts/Login?service=print&continue=https://books.google.com.sg/books%3Fid%3Dj-I7Zpq3GdIC%26printsec%3Dfrontcover%26hl%3Den&hl=en&ec=GAZACg" class=gb4>Sign in</a></nobr></div><div class=gbh style=left:0></div><div class=gbh style=right:0></div><div role="alert" style="position: absolute; left: 0; right: 0;"><a href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;printsec=frontcover&amp;hl=en&amp;output=html_text" title="Screen reader users: click this link for accessible mode. Accessible mode has the same essential features but works better with your reader."><img border="0" src="//www.google.com/images/cleardot.gif"alt="Screen reader users: click this link for accessible mode. Accessible mode has the same essential features but works better with your reader."></a></div><div class="kd-appbar"><h2 class="kd-appname"><a href="/books">Books</a></h2><div class="kd-buttonbar left" id="left-toolbar-buttons"><a id="appbar-view-print-sample-link" href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;printsec=frontcover&amp;source=gbs_vpt_read"></a><a id="appbar-view-ebook-sample-link" href=""></a><a id="appbar-patents-prior-art-finder-link" href=""></a><a id="appbar-patents-discuss-this-link" href="" data-is-grant=""></a><a id="appbar-read-patent-link" href=""></a><a id="appbar-download-pdf-link" href=""></a></div><div class="kd-buttonbar right" id="right-toolbar-buttons"></div></div><div style="display: none"><ol id="ofe-gear-menu-contents" class="gbmcc"><li class="gbe gbmtc"><a class="gbmt goog-menuitem-content" id="" href="https://www.google.com/accounts/Login?service=print&amp;continue=https://books.google.com.sg/books%3Fop%3Dlibrary&amp;hl=en">My library</a></li><li class="gbe gbmtc"><a class="gbmt goog-menuitem-content" id="" href="http://books.google.com.sg/support/topic/4359341?hl=en-SG">Help</a></li><li class="gbe gbmtc"><a class="gbmt goog-menuitem-content" id="" href="https://books.google.com.sg/advanced_book_search">Advanced Book Search</a></li></ol></div><div id="volume-main"><div id="volume-left"><div id=menu_container ><div id="menu_scroll_wrapper"><div id="menu_scroll" role="navigation"><div id="gb-get-book-container"><a id="gb-get-book-content" href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;sitesec=buy&amp;source=gbs_vpt_read">Get print book</a></div><p id="gb-get-book-not-available">No eBook available<p><h3 class=about_title><a name="buy_anchor"></a></h3><div id=buy class=about_content><div id=buy_v><ul style="list-style-type: none; padding-left: 0; margin: 0;"><li><a style="white-space:normal" href="http://www.amazon.com/gp/search?index=books&amp;linkCode=qs&amp;keywords=9780486681948" dir=ltr onMouseOver="this.href='http://www.amazon.com/gp/search?index\x3dbooks\x26linkCode\x3dqs\x26keywords\x3d9780486681948';return false" onMouseDown="this.href='/url?client\x3dca-print-otter_PZTACN6\x26format\x3dgoogleprint\x26num\x3d0\x26id\x3dj-I7Zpq3GdIC\x26q\x3dhttp://www.amazon.com/gp/search%3Findex%3Dbooks%26linkCode%3Dqs%26keywords%3D9780486681948\x26usg\x3dAOvVaw0o1rp5WPDag00tAZtWYxU2\x26source\x3dgbs_buy_r';return true"><span dir=ltr>Amazon.com</span></a></li><li><a style="white-space:normal" href="http://www.mphonline.com/books/nsearch.aspx?do=detail&amp;pcode=9780486681948" dir=ltr onMouseOver="this.href='http://www.mphonline.com/books/nsearch.aspx?do\x3ddetail\x26pcode\x3d9780486681948';return false" onMouseDown="this.href='/url?client\x3dca-print-otter_PZTACN6\x26format\x3dgoogleprint\x26num\x3d0\x26id\x3dj-I7Zpq3GdIC\x26q\x3dhttp://www.mphonline.com/books/nsearch.aspx%3Fdo%3Ddetail%26pcode%3D9780486681948\x26usg\x3dAOvVaw1Carm_Z7Q4V1TGlk14OY2x\x26source\x3dgbs_buy_r';return true"><span dir=ltr>MPH</span></a></li><li><a style="white-space:normal" href="https://www.popular.com.sg/catalogsearch/result/?q=9780486681948" dir=ltr onMouseOver="this.href='https://www.popular.com.sg/catalogsearch/result/?q\x3d9780486681948';return false" onMouseDown="this.href='/url?client\x3dca-print-otter_PZTACN6\x26format\x3dgoogleprint\x26num\x3d0\x26id\x3dj-I7Zpq3GdIC\x26q\x3dhttps://www.popular.com.sg/catalogsearch/result/%3Fq%3D9780486681948\x26usg\x3dAOvVaw0TeuoMqzFMrhAieoTy0KE2\x26source\x3dgbs_buy_r';return true"><span dir=ltr>Popular</span></a></li><li><hr style="margin-right: 20%; color: #666;"></li><li><a style="white-space:normal" href="https://books.google.com.sg/url?id=j-I7Zpq3GdIC&amp;pg=PP1&amp;q=http://www.worldcat.org/oclc/1023911156&amp;clientid=librarylink&amp;usg=AOvVaw09d6G3Kq1nBIijqRauCp5W&amp;source=gbs_buy_r"><span dir=ltr>Find in a library</span></a></li><li><a class="secondary" style="white-space:normal" href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;sitesec=buy&amp;source=gbs_buy_r" id="get-all-sellers-link"><span dir=ltr>All sellers</span>&nbsp;&raquo;</a></li></ul></div></div><div class=menu id=menu><div class="menu_content" style="margin-bottom:6px"><div style="margin-bottom:4px"><div class="sidebarnav"><table border="0" cellpadding="0" cellspacing="0"><tr><td><div class="sidebarcover"><a href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;printsec=frontcover" onclick="_OC_Page('PP1',this.href); return false;"><img src="https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC&printsec=frontcover&img=1&zoom=5&edge=curl&imgtk=AFLRE7083zP5ZPXFr2zZ112aiUHypRNeKfq7bVvlN_YRLnsUIrIzWFmJSY0SHwpeoiefh5QIuqRYz4otfHqu5EInmrUka256jE7dydK6cGcB3vlmGjp9y8xDhugqTu9x16QHR_gAwI9k" alt="Front Cover" title="Front Cover" height=80 border=1 id=summary-frontcover ></a></div></td><td></td></tr></table></div><div style="clear:both"></div></div><div id="volume-info-sidebar"><h1 class="gb-volume-title" dir=ltr>A Course on Group Theory</h1><span class="addmd">By John S. Rose</span></div><div style="margin-bottom:3px"><form action=/books id=search_form style="margin:0px;padding:0px;" method=get> <input type=hidden name="id" value="j-I7Zpq3GdIC"><table cellpadding=0 cellspacing=0 class="swv-table"><tr><td class="swv-td-search"><span><input id=search_form_input type=text maxlength=1024 class="text_flat swv-input-search" aria-label="Search in this book" name=q value="" title="Go" accesskey=i></span></td><td class="swv-td-space"><div>&nbsp;</div></td><td><input type=submit value="Go"></td></tr></table><script type="text/javascript">if (window['_OC_autoDir']) {_OC_autoDir('search_form_input');}</script></form></div><div><p><a id="sidebar-atb-link" href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;source=gbs_navlinks_s"><span dir=ltr>About this book</span></a></p></div></div></div><div><div id="navbarContainer" class="gb-navbar"></div><script>_OC_InitNavbar({"child_node":[{"title":"My library","url":"https://books.google.com.sg/books?uid=114584440181414684107\u0026source=gbs_lp_bookshelf_list","id":"my_library","collapsed":true},{"title":"My History","url":"","id":"my_history","collapsed":true}],"highlighted_node_id":""});</script><h3 class=about_title><a name="pub_info_anchor"></a></h3><div id=pub_info class=about_content><div id=pub_info_v><table cellspacing=0><tr><td style="font-size:84.6%;color:#666666">Published by Courier Corporation.&nbsp;<a style="color:#7777cc;white-space:normal" href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;printsec=copyright&amp;source=gbs_pub_info_r">Copyright</a>.&nbsp;</table></div></div></div></div></div></div></div><div id="volume-center"><div id="scroll_atb" role="main"><div id="toolbar_container"><div style="float:left;white-space:nowrap"><table cellpadding=0 cellspacing=0><tr><td id="l_toolbar"></td><td class=toolbar-pc-cell><table cellpadding=0 cellspacing=0><tr><td class=no-jump-cell align=right><span id=page_label style="margin-right:.5em">Front Cover</span></td><td class=arrow style="padding-right:2px"><a href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;pg=PA311&amp;lpg=PP1&amp;focus=viewport" onclick="_OC_EmptyFunc(this.href); return false;"><div class=pagination><div id=prev_btn alt="Previous Page" title="Previous Page" class="SPRITE_pagination_v2_left"></div></div></a></td><td class=arrow><a href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;pg=PR3&amp;lpg=PP1&amp;focus=viewport" onclick="_OC_EmptyFunc(this.href); return false;"><div class=pagination><div id=next_btn alt="Next available page" title="Next available page" class="SPRITE_pagination_v2_right"></div></div></a></td></tr></table></td><td>&nbsp;&nbsp;</td><td id=view_toolbar></td><td id=view_new></td></tr></table></div><div style="float:right"><table cellpadding=0 cellspacing=0><tr><td></td><td id="r_toolbar" style="white-space:nowrap"></td></tr></table></div><div style="clear:both"></div></div><div id="search_bar"></div><div class="gback"><div id="viewport" class="viewport" tabindex="0"><a name="page" accesskey="c"></a><table class="viewport-table" id="container" align="center" cellpadding="0" cellspacing="0"><tr><td valign="top" align="center"><noscript><style type=text/css media=print> .html_page_image{display:none;} .viewport div img {display:none;} </style><div style="height:899px;width:575px;position:relative;margin-bottom:4px"><style type=text/css>.html_page_image { background-image:url("https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC&pg=PP1&img=1&zoom=3&hl=en&sig=ACfU3U0kPSuaTTBYs0XixBKLTNdU-JNTtQ"); width:575px;height:899px; top:0px;left:0px;position:relative}</style><div class=html_page_image><a href="https://books.google.com.sg/books?id=j-I7Zpq3GdIC&amp;pg=PR3&amp;lpg=PP1&amp;focus=viewport" style="outline:none"><img class=html_page_secure_image src="//www.google.com/images/cleardot.gif" height=899 width=575 border=0 alt="Next available page" title="Next available page"></a></div></div></noscript></td></tr></table></div></div><script>_OC_addFlags({Host:"https://books.google.com.sg/", IsZipitFolderCollectionEnabled:1, IsBrowsingHistoryEnabled:1, IsBooksRentalEnabled:1, IsBooksUnifiedLeftNavEnabled:1});_OC_Run({"page":[{"pid":"PP1","flags":32,"order":0},{"pid":"PR3","order":3,"title":"iii"},{"pid":"PR4","order":4,"title":"iv"},{"pid":"PR5","order":5,"title":"v"},{"pid":"PR6","order":6,"title":"vi"},{"pid":"PR7","order":7,"title":"vii"},{"pid":"PR8","order":8,"title":"viii"},{"pid":"PR9","order":9,"title":"ix"},{"pid":"PR10","order":10,"title":"x"},{"pid":"PA1","order":11,"title":"1"},{"pid":"PA2","order":12,"title":"2"},{"pid":"PA3","order":13,"title":"3"},{"pid":"PA4","order":14,"title":"4"},{"pid":"PA5","order":15,"title":"5"},{"pid":"PA6","order":16,"title":"6"},{"pid":"PA7","order":17,"title":"7"},{"pid":"PA8","order":18,"title":"8"},{"pid":"PA9","order":19,"title":"9"},{"pid":"PA10","order":20,"title":"10"},{"pid":"PA11","order":21,"title":"11"},{"pid":"PA12","order":22,"title":"12"},{"pid":"PA13","order":23,"title":"13"},{"pid":"PA14","order":24,"title":"14"},{"pid":"PA15","order":25,"title":"15"},{"pid":"PA16","order":26,"title":"16"},{"pid":"PA17","order":27,"title":"17"},{"pid":"PA18","order":28,"title":"18"},{"pid":"PA19","order":29,"title":"19"},{"pid":"PA20","order":30,"title":"20"},{"pid":"PA21","order":31,"title":"21"},{"pid":"PA22","order":32,"title":"22"},{"pid":"PA23","order":33,"title":"23"},{"pid":"PA24","order":34,"title":"24"},{"pid":"PA25","order":35,"title":"25"},{"pid":"PA26","order":36,"title":"26"},{"pid":"PA27","order":37,"title":"27"},{"pid":"PA28","order":38,"title":"28"},{"pid":"PA29","order":39,"title":"29"},{"pid":"PA30","order":40,"title":"30"},{"pid":"PA31","order":41,"title":"31"},{"pid":"PA32","order":42,"title":"32"},{"pid":"PA33","order":43,"title":"33"},{"pid":"PA34","order":44,"title":"34"},{"pid":"PA35","order":45,"title":"35"},{"pid":"PA36","order":46,"title":"36"},{"pid":"PA37","order":47,"title":"37"},{"pid":"PA38","order":48,"title":"38"},{"pid":"PA39","order":49,"title":"39"},{"pid":"PA40","order":50,"title":"40"},{"pid":"PA41","order":51,"title":"41"},{"pid":"PA42","order":52,"title":"42"},{"pid":"PA43","order":53,"title":"43"},{"pid":"PA44","order":54,"title":"44"},{"pid":"PA45","order":55,"title":"45"},{"pid":"PA46","order":56,"title":"46"},{"pid":"PA47","order":57,"title":"47"},{"pid":"PA48","order":58,"title":"48"},{"pid":"PA49","order":59,"title":"49"},{"pid":"PA50","order":60,"title":"50"},{"pid":"PA51","order":61,"title":"51"},{"pid":"PA52","order":62,"title":"52"},{"pid":"PA53","order":63,"title":"53"},{"pid":"PA54","order":64,"title":"54"},{"pid":"PA55","order":65,"title":"55"},{"pid":"PA56","order":66,"title":"56"},{"pid":"PA57","order":67,"title":"57"},{"pid":"PA58","order":68,"title":"58"},{"pid":"PA59","order":69,"title":"59"},{"pid":"PA60","order":70,"title":"60"},{"pid":"PA61","order":71,"title":"61"},{"pid":"PA62","order":72,"title":"62"},{"pid":"PA63","order":73,"title":"63"},{"pid":"PA64","order":74,"title":"64"},{"pid":"PA65","order":75,"title":"65"},{"pid":"PA66","order":76,"title":"66"},{"pid":"PA67","order":77,"title":"67"},{"pid":"PA68","order":78,"title":"68"},{"pid":"PA69","order":79,"title":"69"},{"pid":"PA70","order":80,"title":"70"},{"pid":"PA71","order":81,"title":"71"},{"pid":"PA72","order":82,"title":"72"},{"pid":"PA73","order":83,"title":"73"},{"pid":"PA74","order":84,"title":"74"},{"pid":"PA75","order":85,"title":"75"},{"pid":"PA76","order":86,"title":"76"},{"pid":"PA77","order":87,"title":"77"},{"pid":"PA78","order":88,"title":"78"},{"pid":"PA79","order":89,"title":"79"},{"pid":"PA80","order":90,"title":"80"},{"pid":"PA81","order":91,"title":"81"},{"pid":"PA82","order":92,"title":"82"},{"pid":"PA83","order":93,"title":"83"},{"pid":"PA84","order":94,"title":"84"},{"pid":"PA85","order":95,"title":"85"},{"pid":"PA86","order":96,"title":"86"},{"pid":"PA87","order":97,"title":"87"},{"pid":"PA88","order":98,"title":"88"},{"pid":"PA89","order":99,"title":"89"},{"pid":"PA90","order":100,"title":"90"},{"pid":"PA91","order":101,"title":"91"},{"pid":"PA92","order":102,"title":"92"},{"pid":"PA93","order":103,"title":"93"},{"pid":"PA94","order":104,"title":"94"},{"pid":"PA95","order":105,"title":"95"},{"pid":"PA96","order":106,"title":"96"},{"pid":"PA97","order":107,"title":"97"},{"pid":"PA98","order":108,"title":"98"},{"pid":"PA99","order":109,"title":"99"},{"pid":"PA100","order":110,"title":"100"},{"pid":"PA101","order":111,"title":"101"},{"pid":"PA102","order":112,"title":"102"},{"pid":"PA103","order":113,"title":"103"},{"pid":"PA104","order":114,"title":"104"},{"pid":"PA105","order":115,"title":"105"},{"pid":"PA106","order":116,"title":"106"},{"pid":"PA107","order":117,"title":"107"},{"pid":"PA108","order":118,"title":"108"},{"pid":"PA109","order":119,"title":"109"},{"pid":"PA110","order":120,"title":"110"},{"pid":"PA111","order":121,"title":"111"},{"pid":"PA112","order":122,"title":"112"},{"pid":"PA113","order":123,"title":"113"},{"pid":"PA114","order":124,"title":"114"},{"pid":"PA115","order":125,"title":"115"},{"pid":"PA116","order":126,"title":"116"},{"pid":"PA117","order":127,"title":"117"},{"pid":"PA118","order":128,"title":"118"},{"pid":"PA119","order":129,"title":"119"},{"pid":"PA120","order":130,"title":"120"},{"pid":"PA121","order":131,"title":"121"},{"pid":"PA122","order":132,"title":"122"},{"pid":"PA123","order":133,"title":"123"},{"pid":"PA124","order":134,"title":"124"},{"pid":"PA125","order":135,"title":"125"},{"pid":"PA126","order":136,"title":"126"},{"pid":"PA127","order":137,"title":"127"},{"pid":"PA128","order":138,"title":"128"},{"pid":"PA129","order":139,"title":"129"},{"pid":"PA130","order":140,"title":"130"},{"pid":"PA131","order":141,"title":"131"},{"pid":"PA132","order":142,"title":"132"},{"pid":"PA133","order":143,"title":"133"},{"pid":"PA134","order":144,"title":"134"},{"pid":"PA135","order":145,"title":"135"},{"pid":"PA136","order":146,"title":"136"},{"pid":"PA137","order":147,"title":"137"},{"pid":"PA138","order":148,"title":"138"},{"pid":"PA139","order":149,"title":"139"},{"pid":"PA140","order":150,"title":"140"},{"pid":"PA141","order":151,"title":"141"},{"pid":"PA142","order":152,"title":"142"},{"pid":"PA143","order":153,"title":"143"},{"pid":"PA144","order":154,"title":"144"},{"pid":"PA145","order":155,"title":"145"},{"pid":"PA146","order":156,"title":"146"},{"pid":"PA147","order":157,"title":"147"},{"pid":"PA148","order":158,"title":"148"},{"pid":"PA149","order":159,"title":"149"},{"pid":"PA150","order":160,"title":"150"},{"pid":"PA151","order":161,"title":"151"},{"pid":"PA152","order":162,"title":"152"},{"pid":"PA155","order":165,"title":"155"},{"pid":"PA156","order":166,"title":"156"},{"pid":"PA157","order":167,"title":"157"},{"pid":"PA158","order":168,"title":"158"},{"pid":"PA159","order":169,"title":"159"},{"pid":"PA160","order":170,"title":"160"},{"pid":"PA161","order":171,"title":"161"},{"pid":"PA162","order":172,"title":"162"},{"pid":"PA163","order":173,"title":"163"},{"pid":"PA164","order":174,"title":"164"},{"pid":"PA165","order":175,"title":"165"},{"pid":"PA166","order":176,"title":"166"},{"pid":"PA167","order":177,"title":"167"},{"pid":"PA168","order":178,"title":"168"},{"pid":"PA170","order":180,"title":"170"},{"pid":"PA172","order":182,"title":"172"},{"pid":"PA175","order":185,"title":"175"},{"pid":"PA178","order":188,"title":"178"},{"pid":"PA180","order":190,"title":"180"},{"pid":"PA181","order":191,"title":"181"},{"pid":"PA183","order":193,"title":"183"},{"pid":"PA184","order":194,"title":"184"},{"pid":"PA186","order":196,"title":"186"},{"pid":"PA188","order":198,"title":"188"},{"pid":"PA189","order":199,"title":"189"},{"pid":"PA190","order":200,"title":"190"},{"pid":"PA191","order":201,"title":"191"},{"pid":"PA192","order":202,"title":"192"},{"pid":"PA194","order":204,"title":"194"},{"pid":"PA196","order":206,"title":"196"},{"pid":"PA197","order":207,"title":"197"},{"pid":"PA198","order":208,"title":"198"},{"pid":"PA200","order":210,"title":"200"},{"pid":"PA201","order":211,"title":"201"},{"pid":"PA202","order":212,"title":"202"},{"pid":"PA203","order":213,"title":"203"},{"pid":"PA204","order":214,"title":"204"},{"pid":"PA206","order":216,"title":"206"},{"pid":"PA208","order":218,"title":"208"},{"pid":"PA210","order":220,"title":"210"},{"pid":"PA212","order":222,"title":"212"},{"pid":"PA213","order":223,"title":"213"},{"pid":"PA218","order":228,"title":"218"},{"pid":"PA219","order":229,"title":"219"},{"pid":"PA220","order":230,"title":"220"},{"pid":"PA221","order":231,"title":"221"},{"pid":"PA222","order":232,"title":"222"},{"pid":"PA225","order":235,"title":"225"},{"pid":"PA226","order":236,"title":"226"},{"pid":"PA227","order":237,"title":"227"},{"pid":"PA228","order":238,"title":"228"},{"pid":"PA229","order":239,"title":"229"},{"pid":"PA230","order":240,"title":"230"},{"pid":"PA232","order":242,"title":"232"},{"pid":"PA233","order":243,"title":"233"},{"pid":"PA234","order":244,"title":"234"},{"pid":"PA235","order":245,"title":"235"},{"pid":"PA236","order":246,"title":"236"},{"pid":"PA237","order":247,"title":"237"},{"pid":"PA238","order":248,"title":"238"},{"pid":"PA239","order":249,"title":"239"},{"pid":"PA240","order":250,"title":"240"},{"pid":"PA243","order":253,"title":"243"},{"pid":"PA247","order":257,"title":"247"},{"pid":"PA249","order":259,"title":"249"},{"pid":"PA250","order":260,"title":"250"},{"pid":"PA251","order":261,"title":"251"},{"pid":"PA252","order":262,"title":"252"},{"pid":"PA253","order":263,"title":"253"},{"pid":"PA254","order":264,"title":"254"},{"pid":"PA255","order":265,"title":"255"},{"pid":"PA256","order":266,"title":"256"},{"pid":"PA257","order":267,"title":"257"},{"pid":"PA259","order":269,"title":"259"},{"pid":"PA262","order":272,"title":"262"},{"pid":"PA263","order":273,"title":"263"},{"pid":"PA264","order":274,"title":"264"},{"pid":"PA265","order":275,"title":"265"},{"pid":"PA266","order":276,"title":"266"},{"pid":"PA267","order":277,"title":"267"},{"pid":"PA269","order":279,"title":"269"},{"pid":"PA270","order":280,"title":"270"},{"pid":"PA274","order":284,"title":"274"},{"pid":"PA275","order":285,"title":"275"},{"pid":"PA278","order":288,"title":"278"},{"pid":"PA279","order":289,"title":"279"},{"pid":"PA281","order":291,"title":"281"},{"pid":"PA282","order":292,"title":"282"},{"pid":"PA283","order":293,"title":"283"},{"pid":"PA285","order":295,"title":"285"},{"pid":"PA286","order":296,"title":"286"},{"pid":"PA288","order":298,"title":"288"},{"pid":"PA289","order":299,"title":"289"},{"pid":"PA290","order":300,"title":"290"},{"pid":"PA291","order":301,"title":"291"},{"pid":"PA292","order":302,"title":"292"},{"pid":"PA295","order":305,"title":"295"},{"pid":"PA296","order":306,"title":"296"},{"pid":"PA301","order":311,"title":"301"},{"pid":"PA302","order":312,"title":"302"},{"pid":"PA303","order":313,"title":"303"},{"pid":"PA304","order":314,"title":"304"},{"pid":"PA305","order":315,"title":"305"},{"pid":"PA306","order":316,"title":"306"},{"pid":"PA307","order":317,"title":"307"},{"pid":"PA308","order":318,"title":"308"},{"pid":"PA309","order":319,"title":"309"},{"pid":"PA310","order":320,"title":"310"},{"pid":"PA311","order":321,"title":"311"}],"prefix":"https://books.google.com.sg/books?id=j-I7Zpq3GdIC\u0026lpg=PP1"},{"fullview":false,"page_width":575,"page_height":909,"font_height":0,"first_content_page":11,"disable_twopage":false,"initial_zoom_width_override":0,"show_print_pages_button":false,"title":"A Course on Group Theory","subtitle":"","attribution":"By John S. Rose","additional_info":{"[JsonBookInfo]":{"BuyLinks":[{"Seller":"Amazon.com","Url":"http://www.amazon.com/gp/search?index=books\u0026linkCode=qs\u0026keywords=9780486681948","TrackingUrl":"/url?client=ca-print-otter_PZTACN6\u0026format=googleprint\u0026num=0\u0026id=j-I7Zpq3GdIC\u0026q=http://www.amazon.com/gp/search%3Findex%3Dbooks%26linkCode%3Dqs%26keywords%3D9780486681948\u0026usg=AOvVaw0o1rp5WPDag00tAZtWYxU2"},{"Seller":"MPH","Url":"http://www.mphonline.com/books/nsearch.aspx?do=detail\u0026pcode=9780486681948","TrackingUrl":"/url?client=ca-print-otter_PZTACN6\u0026format=googleprint\u0026num=0\u0026id=j-I7Zpq3GdIC\u0026q=http://www.mphonline.com/books/nsearch.aspx%3Fdo%3Ddetail%26pcode%3D9780486681948\u0026usg=AOvVaw1Carm_Z7Q4V1TGlk14OY2x"},{"Seller":"Popular","Url":"https://www.popular.com.sg/catalogsearch/result/?q=9780486681948","TrackingUrl":"/url?client=ca-print-otter_PZTACN6\u0026format=googleprint\u0026num=0\u0026id=j-I7Zpq3GdIC\u0026q=https://www.popular.com.sg/catalogsearch/result/%3Fq%3D9780486681948\u0026usg=AOvVaw0TeuoMqzFMrhAieoTy0KE2"}],"AboutUrl":"https://books.google.com.sg/books?id=j-I7Zpq3GdIC","PreviewUrl":"https://books.google.com.sg/books?id=j-I7Zpq3GdIC","allowed_syndication_flags":{"allow_disabling_chrome":true}}},"table_of_contents_page_id":"PR5","max_resolution_image_width":1280,"max_resolution_image_height":2023,"num_toc_pages":1,"quality_info":"We have no quality information about this book.","volume_id":"j-I7Zpq3GdIC","permission_info":"Published by Courier Corporation","is_ebook":false,"volumeresult":{"has_flowing_text":false,"has_scanned_text":true,"can_download_pdf":false,"can_download_epub":false,"is_pdf_drm_enabled":false,"is_epub_drm_enabled":false},"publisher":"Courier Corporation","publication_date":"1994.01.01","subject":"Mathematics","num_pages":310,"sample_url":"https://play.google.com/books/reader?id=j-I7Zpq3GdIC\u0026source=gbs_vpt_hover","synposis":"This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.","my_library_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fop%3Dlibrary\u0026hl=en","is_magazine":false,"is_public_domain":false,"last_page":{"pid":"PA311","order":321,"title":"311"}},{"enableUserFeedbackUI":true,"pseudocontinuous":true,"is_cobrand":false,"sign_in_url":"https://www.google.com/accounts/Login?service=print\u0026continue=https://books.google.com.sg/books%3Fid%3Dj-I7Zpq3GdIC%26printsec%3Dfrontcover%26hl%3Den\u0026hl=en","isEntityPageViewport":false,"showViewportOnboarding":false,"showViewportPlainTextOnboarding":false},{"page":[{"pid":"PP1","src":"https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC\u0026pg=PP1\u0026img=1\u0026zoom=3\u0026hl=en\u0026sig=ACfU3U0kPSuaTTBYs0XixBKLTNdU-JNTtQ","flags":32,"order":0,"uf":"https://books.google.com.sg/books_feedback?id=j-I7Zpq3GdIC\u0026spid=AFLRE725o2OTzfF1GINXfjx2J4ZCN477ALokB6o7u6NJlKuHyw0ZmDU\u0026ftype=0"},{"pid":"PR3","src":"https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC\u0026pg=PR3\u0026img=1\u0026zoom=3\u0026hl=en\u0026sig=ACfU3U0cVYEKXVn4BfTfEDTiSdsb7r4Jbw"},{"pid":"PR4","src":"https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC\u0026pg=PR4\u0026img=1\u0026zoom=3\u0026hl=en\u0026sig=ACfU3U3fDPESDeOxjuC-9A1rth3PAuKx7g"},{"pid":"PR5","src":"https://books.google.com.sg/books/content?id=j-I7Zpq3GdIC\u0026pg=PR5\u0026img=1\u0026zoom=3\u0026hl=en\u0026sig=ACfU3U2_rktbhLj0tNaMi1bGxvhEQqcbgw"}]},null,null,{});</script></div></div></div><script>(function() {var href = window.location.href;if (href.indexOf('?') !== -1) {var parameters = href.split('?')[1].split('&');for (var i = 0; i < parameters.length; i++) {var param = parameters[i].split('=');if (param[0] == 'focus') {var elem = document.getElementById(param[1]);if (elem) {elem.focus();}}}}})();</script>

Pages: 1 2 3 4 5 6 7 8 9 10