<?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 (crime) - 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.html" >Top</a> <a href="chap1.html" >1</a> <a href="chap2.html" >2</a> <a href="chapA.html" >A</a> <a href="chapB.html" >B</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="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >
<p id="mathjaxlink" class="pcenter" ><a href="chap0_mj.html" >[MathJax on]</a></p>
<p><a id="X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>
<div class="pcenter" >
<h1 >CRIME</h1 >
<h2>A <strong class="pkg" >GAP</strong > Package to Calculate Group Cohomology and Massey Products</h2>
<p>
1.6</p>
<p>
17 March 2022
</p>
</div >
<p><b>
Marcus Bishop
</b>
<br />Email: <span class="URL" ><a href="mailto:marcus.bishop@gmail.com" >marcus.bishop@gmail.com</a></span >
<br />Homepage: <span class="URL" ><a href="http://math.uic.edu/~marcus " >http://math.uic.edu/~marcus</a></span >
</p>
<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>
<h3>Copyright</h3>
<p>© 2006, 2007 Marcus Bishop</p>
<p><strong class="pkg" >CRIME</strong > is free software which is distributed under the GNU Public Licence, version 2, and may be redistributed under the GNU Public Licence, version 2 or later (at your preference). See the file COPYING for detailed information</p>
<p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA" ></a></p>
<h3>Acknowledgements</h3>
<p>This project would not have been possible without Jon Carlson. Jon devised the algorithms used by <code class="keyw" >ProjectiveResolution</code >, <code class="keyw" >CohomologyGenerators</code >, and <code class="keyw" >CohomologyRelators</code >, having already implemented them in <strong class="pkg" >Magma</strong >, and shared these programs with me.</p>
<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>
<div class="contents" >
<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 class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X86C437C47F3988E8" >1.1 <span class="Heading" >Installation and Loading</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X83499FE181F08DC9" >1.2 <span class="Heading" >For Further Information</span ></a>
</span >
</div >
</div >
<div class="ContChap" ><a href="chap2.html#X86A9B6F87E619FFF" >2 <span class="Heading" >Usage</span ></a>
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X85BF21B17BF76907" >2.1 <span class="Heading" >Cohomology Objects</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X8716E7657F9683B7" >2.1-1 CohomologyObject</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7FEB30657DDEFE44" >2.2 <span class="Heading" >Minimal Projective Resolutions</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X8273999C7B352F22" >2.2-1 ProjectiveResolution</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7AF313D387F6BA22" >2.2-2 BoundaryMap</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X78C37B2E7D297FC5" >2.3 <span class="Heading" >Cohomology Generators and Relators</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X81F141187B0EC653" >2.3-1 CohomologyGenerators</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X812BE8E983DC20BC" >2.3-2 CohomologyRelators</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X87C9251687CD4247" >2.4 <span class="Heading" >Tests for Completion</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X80B6849C835B7F19" >2.5 <span class="Heading" >Cohomology Rings</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7B77337486380998" >2.5-1 CohomologyRing</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7D8EA4528082A74D" >2.5-2 IsHomogeneous</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X826A861E7E7D944E" >2.5-3 Degree</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X813A8E4C7D4C9FBD" >2.5-4 LocateGeneratorsInCohomologyRing</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7E21853583D6D86D" >2.6 <span class="Heading" >What Happens if <code class="keyw" >n</code > Isn't
Big Enough?</span ></a>
</span >
</div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X837261007B39795C" >2.7 <span class="Heading" >Induced Maps</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X8608BD148307390B" >2.7-1 InducedHomomorphismOnCohomology</a></span >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X80798C0979D4E9DC" >2.7-2 SubgroupInclusion</a></span >
</div ></div >
<div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X7B541EB97BAB36D7" >2.8 <span class="Heading" >Massey Products</span ></a>
</span >
<div class="ContSSBlock" >
<span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7E3023CE86641F9E" >2.8-1 MasseyProduct</a></span >
</div ></div >
</div >
<div class="ContChap" ><a href="chapA.html#X82113B3184F76F58" >A <span class="Heading" >Some Benchmarks</span ></a>
</div >
<div class="ContChap" ><a href="chapB.html#X7BC2C62E7A8CC2B9" >B <span class="Heading" >Leisure and Recreation: Cohomology Rings
of all Groups of Size 16</span ></a>
</div >
<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 >
<br />
</div >
<div class="chlinkprevnextbot" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap1.html" >[Next Chapter]</a> </div >
<div class="chlinkbot" ><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="chapA.html" >A</a> <a href="chapB.html" >B</a> <a href="chapBib.html" >Bib</a> <a href="chapInd.html" >Ind</a> </div >
<hr />
<p class="foot" >generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>
</body >
</html >
quality 100%
¤ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
¤
*© Formatika GbR, Deutschland