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<?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" src="https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLor </script> <title>GAP (Congruence) - 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_mj.html">Top< <div class="chlinkprevnexttop"> <a href="chap0_mj.html">[Top of Book]</a> <a href="chap0_mj.ht <p id="mathjaxlink" class="pcenter"><a href="chap0.html">[MathJax off]</a></p> <p><a id="X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5"></a></p> <div class="pcenter"> <h1><strong class="pkg">Congruence</strong></h1> <h2>Congruence subgroups of <span class="SimpleMath">\(SL_2(ℤ)\)</span></h2> <p>Version 1.2.7</p> <p>28 August 2024</p> </div> <p><b>Ann Dooms </b> <br />Email: <span class="URL"><a href="mailto:andooms@vub.ac.be">andooms@vub.ac.be</a></span> <br />Homepage: <span class="URL"><a href="http://homepages.vub.ac.be/~andooms">http://hom <br />Address: <br />Department of Mathematics, Vrije Universiteit Brussel<br /> Pleinlaan 2, Brus </p><p><b>Eric Jespers </b> <br />Email: <span class="URL"><a href="mailto:efjesper@vub.ac.be">efjesper@vub.ac.be</a></sp <br />Homepage: <span class="URL"><a href="http://homepages.vub.ac.be/~efjesper">http://ho <br />Address: <br />Department of Mathematics, Vrije Universiteit Brussel<br /> Pleinlaan 2, Brus </p><p><b>Olexandr Konovalov </b> <br />Email: <span class="URL"><a href="mailto:obk1@st-andrews.ac.uk">obk1@st-andrews.ac.u <br />Homepage: <span class="URL"><a href="https://olexandr-konovalov.github.io/">https:// <br />Address: <br />School of Computer Science<br /> University of St Andrews<br /> Jack Cole Building </p><p><b>Helena Verrill </b> <br />Email: <span class="URL"><a href="mailto:verrill@math.lsu.edu">verrill@math.lsu.edu</ <br />Homepage: <span class="URL"><a href="http://www.math.lsu.edu/~verrill/">http://www.m <br />Address: <br />Department of Mathematics<br /> Louisiana State University<br /> Baton Rouge, Lo </p> <p><a id="X7AA6C5737B711C89" name="X7AA6C5737B711C89"></a></p> <h3>Abstract</h3> <p>The <strong class="pkg">GAP</strong> package <strong class="pkg">Congruence</strong> provides <p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p> <h3>Copyright</h3> <p>© 2006-2024 by Ann Dooms, Eric Jespers, Olexandr Konovalov and Helena Verrill.</p> <p><strong class="pkg">Congruence</strong> is free software; you can redistribute it and/or modi <p>If you obtained <strong class="pkg">Congruence</strong>, we would be grateful for a short notif <p>If you publish a result which was partially obtained with the usage of <strong class="pkg">Cong <p>A. Dooms, E. Jespers, O. Konovalov and H. Verrill. <em>Congruence --- Congruence subgroups of <s <p><a id="X82A988D47DFAFCFA" name="X82A988D47DFAFCFA"></a></p> <h3>Acknowledgements</h3> <p>We are very grateful to Mong-Lung Lang, Chong-Hai Lim and Ser Peow Tan for their comments provi <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_mj.html#X7DFB63A97E67C0A1">1 <span class="Heading">In <div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html </span> </div> <div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1_mj.html </span> </div> </div> <div class="ContChap"><a href="chap2_mj.html#X7B010EE67FACF45E">2 <span class="Heading">Co <div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2_mj.html </span> <div class="ContSSBlock"> <span class="ContSS"><br /><span class="nocss"> </span><a 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