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<h1><strong class="pkg">Repsn</strong></h1>
<h2>A <strong class="pkg">GAP</strong>4 Package<br /> for constructing representations of finite groups </h2>
<p>Version 3.0.1</p>
<p>December 2008</p>
</div>
<p><b>
Vahid Dabbaghian<br />
</b>
<br />Email: <span class="URL"><a href="mailto: vdabbagh@sfu.ca"> vdabbagh@sfu.ca</a></span>
<br />Homepage: <span class="URL"><a href="http://www.sfu.ca/~vdabbagh">http://www.sfu.ca/~vdabbagh</a></span>
<br />Address: <br />Department of Mathematics,<br /> Simon Fraser University,<br /> Burnaby, British Columbia,<br /> V5A 1S6 Canada.
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<h3>Copyright</h3>
<p>© 2004 Vahid Dabbaghian.</p>
<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p>
<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</h3>
<div class="ContChap"><a href="chap1.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
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<div class="ContChap"><a href="chap2.html#X8145828B844789C2">2 <span class="Heading">Irreducible Representations</span></a>
<div class="ContSect"><span class="nocss"> </span><a href="chap2.html#X812E7C8E7FA7BE4E">2.1 <span class="Heading">Constructing Representations</span></a>
<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="nocss"> </span><a href="chap2.html#X7EE113967DB4AB68">2.2 <span class="Heading">Induction</span></a>
<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="nocss"> </span><a href="chap2.html#X7B3BE908867CE4F9">2.3 <span class="Heading">Extension</span></a>
<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="nocss"> </span><a href="chap2.html#X80C4BBFE7CDE7AA9">2.4 <span class="Heading">Character Subgroups</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap2.html#X81E72F66831F159E">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="nocss"> </span><a href="chap2.html#X8459AEDB7B73584F">2.5 <span class="Heading">Equivalent Representation</span></a>
<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="nocss"> </span><a href="chap3.html#X7829A125780DD25D">3.1 <span class="Heading">Constituents of Representations</span></a>
<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="nocss"> </span><a href="chap3.html#X7FF69B0D7DB36D73">3.2 <span class="Heading">Block Representations</span></a>
<span class="ContSS"><br /><span class="nocss"> </span><a href="chap3.html#X7DF3C6607C8EA2BB">3.2-1 EquivalentBlockRepresentation</a></span>
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