<?xml version="1.0" encoding="UTF-8" ?>DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd " >html xmlns="http://www.w3.org/1999/xhtml " xml:lang="en" >head >script type="text/javascript" "https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (repsn) - Contents</title >meta http-equiv="content-type" content="text/html; charset=UTF-8" />meta name="generator" content="GAPDoc2HTML" />link rel="stylesheet" type="text/css" href="manual.css" />script src="manual.js" type="text/javascript" ></script >script type="text/javascript" >overwriteStyle();</script >head >body class="chap0" onload="jscontent()" >div class="chlinktop" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap0.html" >[MathJax off]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >Repsn</h1 >div >br />Email: <span class="URL" ><a href="mailto:vdabbagh@sfu.ca" >vdabbagh@sfu.ca</a></span >br />Homepage: <span class="URL" ><a href="https://www.sfu.ca/~vdabbagh " >https://www.sfu.ca/~vdabbagh</a></span >br />Address : <br />Vahid Dabbaghian<br /> Department of Mathematics<br /> Simon Fraser University<br /> Burnaby, British Columbia<br /> V5A 1S6 Canada<br />"X82A988D47DFAFCFA" name="X82A988D47DFAFCFA" ></a></p>. I would like to express deep gratitude to my supervisor Professor John D. Dixon whose guidance and support were crucial for the successful completion of this project. I also thank Professor Charles Wright and referees for pointing out some important comments to improve <strong class="pkg" >Repsn</strong >.</p>strong class="pkg" >GAPDoc</strong > package by Frank Lübeck and Max Neunhöffer.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"contents" name="contents" ></a></h3>div class="ContChap" ><a href="chap1_mj.html#X7DFB63A97E67C0A1" >1 <span class="Heading" >Introduction</span ></a>div >div class="ContChap" ><a href="chap2_mj.html#X8145828B844789C2" >2 <span class="Heading" >Irreducible Representations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X812E7C8E7FA7BE4E" >2.1 <span class="Heading" >Constructing Representations</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7A3ACAC179C15393" >2.1-1 IrreducibleAffordingRepresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7CF2E8907C5C6D0D" >2.1-2 IsAffordingRepresentation</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X7EE113967DB4AB68" >2.2 <span class="Heading" >Induction</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X832316958253A958" >2.2-1 InducedSubgroupRepresentation</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X7B3BE908867CE4F9" >2.3 <span class="Heading" >Extension</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7950DD2D7B80E583" >2.3-1 ExtendedRepresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X83536FA985B4E255" >2.3-2 ExtendedRepresentationNormal</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X80C4BBFE7CDE7AA9" >2.4 <span class="Heading" >Character Subgroups</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X875FD501825F7AB8" >2.4-1 CharacterSubgroupRepresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X79510CED811937D9" >2.4-2 IsCharacterSubgroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X8408A559823FED05" >2.4-3 AllCharacterPSubgroups</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X86388596828FDAFE" >2.4-4 AllCharacterStandardSubgroups</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X7A7B4ECC8722140C" >2.4-5 AllCharacterSubgroups</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2_mj.html#X8459AEDB7B73584F" >2.5 <span class="Heading" >Equivalent Representation</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2_mj.html#X87C25B877C4952BA" >2.5-1 EquivalentRepresentation</a></span >div ></div >div >div class="ContChap" ><a href="chap3_mj.html#X826CC30186DBDB2B" >3 <span class="Heading" >Reducible Representations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7829A125780DD25D" >3.1 <span class="Heading" >Constituents of Representations</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X7BBA5EC37C52A99D" >3.1-1 ConstituentsOfRepresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X87F71650795FE650" >3.1-2 IsReducibleRepresentation</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3_mj.html#X7FF69B0D7DB36D73" >3.2 <span class="Heading" >Block Representations</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3_mj.html#X847B7C45812A563B" >3.2-1 EquivalentBlockRepresentation</a></span >div ></div >div >div class="ContChap" ><a href="chapBib_mj.html" ><span class="Heading" >References</span ></a></div >div class="ContChap" ><a href="chapInd_mj.html" ><span class="Heading" >Index</span ></a></div >br />div >div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap1_mj.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >hr />"foot" >generated by 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