<?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> <title>GAP (Gpd) - Index</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" /> </head> <body> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chap5.html">5</a> <a href="chap6.html">6</a> <a href="chap7.html">7</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div> <div class="chlinkprevnexttop"> <a href="chap0.html">Top of Book</a> <a href="chapBib.html">Previous Chapter</a> </div> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> * for groupoid elements <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">\^</code> <a href="chap4.html#X8123456781234567">4.5-1</a><br /> \^{} for groupoid elements <a href="chap4.html#X8123456781234567">4.5-1</a><br /> <code class="func">Arrow</code> <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">Arrowhead</code> <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">Arrowtail</code> <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">DigraphOfGraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">DigraphOfGraphOfGroups</code> <a href="chap6.html#X8130246E854BC5D9">6.2-1</a><br /> <code class="func">DiscreteIdentitySubgroupoid</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">DiscreteSubgroupoid</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">DoubleCoset</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">DoubleCosetRepresentatives</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">DoubleCosetsNC</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">FpWeightedDigraph</code> <a href="chap6.html#X85BD6D2584D8A22F">6.1-1</a><br /> <code class="func">FreeProductWithAmalgamation</code> <a href="chap6.html#X795AB71F7E370119">6.4-1</a><br /> <code class="func">FullIdentitySubgroupoid</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">FullSubgroupoid</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">GGHead</code> <a href="chap6.html#X87937AE47C5B1018">6.3-1</a><br /> <code class="func">GGTail</code> <a href="chap6.html#X87937AE47C5B1018">6.3-1</a><br /> <code class="func">GraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">GraphOfGroupoidsOfWord</code> <a href="chap6.html#X7EC1A9067FC91255">6.5-2</a><br /> <code class="func">GraphOfGroupoidsWord</code> <a href="chap6.html#X7EC1A9067FC91255">6.5-2</a><br /> <code class="func">GraphOfGroups</code> <a href="chap6.html#X8130246E854BC5D9">6.2-1</a><br /> <code class="func">GraphOfGroupsOfWord</code> <a href="chap6.html#X87937AE47C5B1018">6.3-1</a><br /> <code class="func">GraphOfGroupsRewritingSystem</code> <a href="chap6.html#X795AB71F7E370119">6.4-1</a><br /> <code class="func">GraphOfGroupsWord</code> <a href="chap6.html#X87937AE47C5B1018">6.3-1</a><br /> <code class="func">Groupoid</code> <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a><br /> <code class="func">GroupoidElement</code> <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">GroupoidHomomorphism</code> <a href="chap5.html#X8013645279DEEB6F">5.1-1</a><br /> <code class="func">GroupoidHomomorphismFromSinglePiece</code> <a href="chap5.html#X8013645279DEEB6F">5.1-1</a><br /> <code class="func">GroupoidsOfGraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">GroupsOfGraphOfGroups</code> <a href="chap6.html#X8130246E854BC5D9">6.2-1</a><br /> <code class="func">HnnExtension</code> <a href="chap6.html#X7CB0F120804A8DED">6.4-2</a><br /> <code class="func">HomomorphismByUnion</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a><br /> <code class="func">HomomorphismToSinglePiece</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a><br /> <code class="func">Homset</code> <a href="chap4.html#X7B561BAE7D471C60">4.3-1</a><br /> <code class="func">IdentityElement</code> <a href="chap4.html#X7E30871D78B9F81C">4.3-2</a><br /> <code class="func">InvolutoryArcs</code> <a href="chap6.html#X85BD6D2584D8A22F">6.1-1</a><br /> <code class="func">IsDirectProductWithCompleteGraph</code> <a href="chap2.html#X7C0911667FF90DB2">2.1-3</a><br /> <code class="func">IsDiscrete</code> <a href="chap4.html#X7C0911667FF90DB2">4.1-5</a><br /> <code class="func">IsElementOfGroupoid</code> <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">IsFpaGroup</code> <a href="chap6.html#X795AB71F7E370119">6.4-1</a><br /> <code class="func">IsFpGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a><br /> <code class="func">IsFpWeightedDigraph</code> <a href="chap6.html#X85BD6D2584D8A22F">6.1-1</a><br /> <code class="func">IsGraphOfFpGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">IsGraphOfFpGroups</code> <a href="chap6.html#X847464677F641527">6.2-2</a><br /> <code class="func">IsGraphOfGroupoidsWord</code> <a href="chap6.html#X7EC1A9067FC91255">6.5-2</a><br /> <code class="func">IsGraphOfGroupsWord</code> <a href="chap6.html#X87937AE47C5B1018">6.3-1</a><br /> <code class="func">IsGraphOfPcGroups</code> <a href="chap6.html#X847464677F641527">6.2-2</a><br /> <code class="func">IsGraphOfPermGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">IsGraphOfPermGroups</code> <a href="chap6.html#X847464677F641527">6.2-2</a><br /> <code class="func">IsHnnGroup</code> <a href="chap6.html#X7CB0F120804A8DED">6.4-2</a><br /> <code class="func">IsomorphismsOfGraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">IsomorphismsOfGraphOfGroups</code> <a href="chap6.html#X8130246E854BC5D9">6.2-1</a><br /> <code class="func">IsPcGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a><br /> <code class="func">IsPermGroupoid</code> <a href="chap4.html#X8511D3EE845CC930">4.1-3</a><br /> <code class="func">IsReducedGraphOfGroupoidsWord</code> <a href="chap6.html#X7EC1A9067FC91255">6.5-2</a><br /> <code class="func">IsReducedGraphOfGroupsWord</code> <a href="chap6.html#X78FA7C3F831AA6E4">6.3-2</a><br /> <code class="func">IsSinglePiece</code> <a href="chap2.html#X7C0911667FF90DB2">2.1-3</a><br /> <code class="func">IsSinglePiece</code> <a href="chap4.html#X7C0911667FF90DB2">4.1-5</a><br /> <code class="func">LeftCoset</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">LeftCosetRepresentatives</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">LeftCosetRepresentativesFromObject</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">LeftCosetsNC</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">LeftTransversalsOfGraphOfGroups</code> <a href="chap6.html#X7B036C2B84E48BB1">6.2-3</a><br /> <code class="func">LefvtTransversalsOfGraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">MagmaHomomorphismFromSinglePiece</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a><br /> <code class="func">MagmaWithObjects</code> <a href="chap2.html#X7C51D7847BD23284">2.1-1</a><br /> <code class="func">MagmaWithObjectsHomomorphism</code> <a href="chap3.html#X86E00FEA7FF38FEA">3.1-1</a><br /> <code class="func">MaximalDiscreteSubgroupoid</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">MonoidWithObjects</code> <a href="chap2.html#X7C51D7847BD23284">2.1-1</a><br /> <code class="func">MultiplicativeElementWithObjects</code> <a href="chap2.html#X79D2548F7DD8C6E7">2.1-2</a><br /> <code class="func">NormalFormGGRWS</code> <a href="chap6.html#X795AB71F7E370119">6.4-1</a><br /> <code class="func">ObjectCostar</code> <a href="chap4.html#X7B561BAE7D471C60">4.3-1</a><br /> <code class="func">ObjectList</code> <a href="chap2.html#X7C51D7847BD23284">2.1-1</a><br /> <code class="func">ObjectList</code> <a href="chap4.html#X8382678F86F18DA8">4.1-2</a><br /> <code class="func">ObjectStar</code> <a href="chap4.html#X7B561BAE7D471C60">4.3-1</a><br /> <code class="func">Pieces</code> <a href="chap4.html#X8382678F86F18DA8">4.1-2</a><br /> <code class="func">Range</code> <a href="chap5.html#X8013645279DEEB6F">5.1-1</a><br /> <code class="func">ReducedGraphOfGroupoidsWord</code> <a href="chap6.html#X7EC1A9067FC91255">6.5-2</a><br /> <code class="func">ReducedGraphOfGroupsWord</code> <a href="chap6.html#X78FA7C3F831AA6E4">6.3-2</a><br /> <code class="func">RightCoset</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">RightCosetRepresentatives</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">RightCosetsNC</code> <a href="chap4.html#X8412ABD57986B9FC">4.4-1</a><br /> <code class="func">RightTransversalsOfGraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">RightTransversalsOfGraphOfGroups</code> <a href="chap6.html#X7B036C2B84E48BB1">6.2-3</a><br /> <code class="func">SemigroupithObjects</code> <a href="chap2.html#X7C51D7847BD23284">2.1-1</a><br /> <code class="func">SinglePieceGroupoid</code> <a href="chap4.html#X8406913B7ED86CFE">4.1-1</a><br /> <code class="func">Size</code> <a href="chap4.html#X7D028B3B8385ED07">4.1-4</a><br /> <code class="func">Source</code> <a href="chap5.html#X8013645279DEEB6F">5.1-1</a><br /> <code class="func">Subgroupoid</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">SubgroupoidByPieces</code> <a href="chap4.html#X7AEA9BF780CD6957">4.2-1</a><br /> <code class="func">SubgroupoidsOfGraphOfGroupoids</code> <a href="chap6.html#X8739267678808E85">6.5-1</a><br /> <code class="func">SubgroupsOfGraphOfGroups</code> <a href="chap6.html#X8130246E854BC5D9">6.2-1</a><br /> <code class="func">WordOfGraphOfGroupoidsWord</code> <a href="chap6.html#X7EC1A9067FC91255">6.5-2</a><br /> <code class="func">WordOfGraphOfGroupsWord</code> <a href="chap6.html#X87937AE47C5B1018">6.3-1</a><br /> <p> </p> </div> <div class="chlinkprevnextbot"> <a href="chap0.html">Top of Book</a> <a href="chapBib.html">Previous Chapter</a> </div> <div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a 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