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<h1 >Repsn</h1 >
<h2>Constructing representations of finite groups</h2>
<p>
3.1.2</p>
<p>
22 January 2024
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<p><b>
Vahid Dabbaghian
</b>
<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 />
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<h3>Acknowledgements</h3>
<p>The first version of this package was obtained during my Ph.D. studies at Carleton University. 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>
<p>This documentation was prepared with the <strong class="pkg" >GAPDoc</strong > package by Frank Lübeck and Max Neunhöffer.</p>
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<h3>Contents<a id="contents" name="contents" ></a></h3>
<div class="ContChap" ><a href="chap1.html#X7DFB63A97E67C0A1" >1 <span class="Heading" >Introduction</span ></a>
</div >
<div class="ContChap" ><a href="chap2.html#X8145828B844789C2" >2 <span class="Heading" >Irreducible Representations</span ></a>
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X812E7C8E7FA7BE4E" >2.1 <span class="Heading" >Constructing Representations</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7A3ACAC179C15393" >2.1-1 IrreducibleAffordingRepresentation</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7CF2E8907C5C6D0D" >2.1-2 IsAffordingRepresentation</a></span >
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<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7EE113967DB4AB68" >2.2 <span class="Heading" >Induction</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X832316958253A958" >2.2-1 InducedSubgroupRepresentation</a></span >
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<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7B3BE908867CE4F9" >2.3 <span class="Heading" >Extension</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7950DD2D7B80E583" >2.3-1 ExtendedRepresentation</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X83536FA985B4E255" >2.3-2 ExtendedRepresentationNormal</a></span >
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<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X80C4BBFE7CDE7AA9" >2.4 <span class="Heading" >Character Subgroups</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X875FD501825F7AB8" >2.4-1 CharacterSubgroupRepresentation</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X79510CED811937D9" >2.4-2 IsCharacterSubgroup</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X8408A559823FED05" >2.4-3 AllCharacterPSubgroups</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X86388596828FDAFE" >2.4-4 AllCharacterStandardSubgroups</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7A7B4ECC8722140C" >2.4-5 AllCharacterSubgroups</a></span >
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<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X8459AEDB7B73584F" >2.5 <span class="Heading" >Equivalent Representation</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X87C25B877C4952BA" >2.5-1 EquivalentRepresentation</a></span >
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<div class="ContChap" ><a href="chap3.html#X826CC30186DBDB2B" >3 <span class="Heading" >Reducible Representations</span ></a>
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X7829A125780DD25D" >3.1 <span class="Heading" >Constituents of Representations</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7BBA5EC37C52A99D" >3.1-1 ConstituentsOfRepresentation</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X87F71650795FE650" >3.1-2 IsReducibleRepresentation</a></span >
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<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X7FF69B0D7DB36D73" >3.2 <span class="Heading" >Block Representations</span ></a>
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<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X847B7C45812A563B" >3.2-1 EquivalentBlockRepresentation</a></span >
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<div class="ContChap" ><a href="chapBib.html" ><span class="Heading" >References</span ></a></div >
<div class="ContChap" ><a href="chapInd.html" ><span class="Heading" >Index</span ></a></div >
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