<?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://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (HAP commands) - Chapter 6: Resolutions of modules</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="chap6" 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="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chap6_mj.html" >6</a> <a href="chap7_mj.html" >7</a> <a href="chap8_mj.html" >8</a> <a href="chap9_mj.html" >9</a> <a href="chap10_mj.html" >10</a> <a href="chap11_mj.html" >11</a> <a href="chap12_mj.html" >12</a> <a href="chap13_mj.html" >13</a> <a href="chap14_mj.html" >14</a> <a href="chap15_mj.html" >15</a> <a href="chap16_mj.html" >16</a> <a href="chap17_mj.html" >17</a> <a href="chap18_mj.html" >18</a> <a href="chap19_mj.html" >19</a> <a href="chap20_mj.html" >20</a> <a href="chap21_mj.html" >21</a> <a href="chap22_mj.html" >22</a> <a href="chap23_mj.html" >23</a> <a href="chap24_mj.html" >24</a> <a href="chap25_mj.html" >25</a> <a href="chap26_mj.html" >26</a> <a href="chap27_mj.html" >27</a> <a href="chap28_mj.html" >28</a> <a href="chap29_mj.html" >29</a> <a href="chap30_mj.html" >30</a> <a href="chap31_mj.html" >31</a> <a href="chap32_mj.html" >32</a> <a href="chap33_mj.html" >33</a> <a href="chap34_mj.html" >34</a> <a href="chap35_mj.html" >35</a> <a href="chap36_mj.html" >36</a> <a href="chap37_mj.html" >37</a> <a href="chap38_mj.html" >38</a> <a href="chap39_mj.html" >39</a> <a href="chap40_mj.html" >40</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="chap5_mj.html" >[Previous Chapter]</a> <a href="chap7_mj.html" >[Next Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chap6.html" >[MathJax off]</a></p>"X841673BA782D0D1D" name="X841673BA782D0D1D" ></a></p>div class="ChapSects" ><a href="chap6_mj.html#X841673BA782D0D1D" >6 <span class="Heading" > Resolutions of modules</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6_mj.html#X7CFDEEC07F15CF82" >6.1 <span class="Heading" > </span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6_mj.html#X795E37107DE0D0BD" >6.1-1 ResolutionFpGModule</a></span >div ></div >div >span class="Heading" > Resolutions of modules</span ></h3>"X7CFDEEC07F15CF82" name="X7CFDEEC07F15CF82" ></a></p>span class="Heading" > </span ></h4>"X795E37107DE0D0BD" name="X795E37107DE0D0BD" ></a></p>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >‣ ResolutionFpGModule</code >( <var class="Arg" >M</var >, <var class="Arg" >n</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >span class="SimpleMath" >\(FpG\)</span >-module <span class="SimpleMath" >\(M\)</span > and a positive integer <span class="SimpleMath" >\(n\)</span > where <span class="SimpleMath" >\(G\)</span > is a finite <span class="SimpleMath" >\(p\)</span >-group and <span class="SimpleMath" >\(F\)</span > the field of <span class="SimpleMath" >\(p\)</span > elements. It returns <span class="SimpleMath" >\(n\)</span > terms of a minimal free <span class="SimpleMath" >\(FG\)</span >-resolution of the module <span class="SimpleMath" >\(M\)</span >.</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap11.html" >1</a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutIntro.html" >2</a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutTorAndExt.html" >3</a></span > </p>div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chap5_mj.html" >[Previous Chapter]</a> <a href="chap7_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="chap4_mj.html" >4</a> <a href="chap5_mj.html" >5</a> <a href="chap6_mj.html" >6</a> <a href="chap7_mj.html" >7</a> <a href="chap8_mj.html" >8</a> <a href="chap9_mj.html" >9</a> <a href="chap10_mj.html" >10</a> <a href="chap11_mj.html" >11</a> <a href="chap12_mj.html" >12</a> <a href="chap13_mj.html" >13</a> <a href="chap14_mj.html" >14</a> <a href="chap15_mj.html" >15</a> <a href="chap16_mj.html" >16</a> <a href="chap17_mj.html" >17</a> <a href="chap18_mj.html" >18</a> <a href="chap19_mj.html" >19</a> <a href="chap20_mj.html" >20</a> <a href="chap21_mj.html" >21</a> <a href="chap22_mj.html" >22</a> <a href="chap23_mj.html" >23</a> <a href="chap24_mj.html" >24</a> <a href="chap25_mj.html" >25</a> <a href="chap26_mj.html" >26</a> <a href="chap27_mj.html" >27</a> <a href="chap28_mj.html" >28</a> <a href="chap29_mj.html" >29</a> <a href="chap30_mj.html" >30</a> <a href="chap31_mj.html" >31</a> <a href="chap32_mj.html" >32</a> <a href="chap33_mj.html" >33</a> <a href="chap34_mj.html" >34</a> <a href="chap35_mj.html" >35</a> <a href="chap36_mj.html" >36</a> <a href="chap37_mj.html" >37</a> <a href="chap38_mj.html" >38</a> <a href="chap39_mj.html" >39</a> <a href="chap40_mj.html" >40</a> <a href="chapInd_mj.html" >Ind</a> </div hr />"foot" >generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html >quality 100%
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