<!DOCTYPE Book SYSTEM "gapdoc.dtd"
[ <!ENTITY Congruence "Congruence">
<#Include SYSTEM "_entities.xml">
] >
<Book Name="Congruence">
<TitlePage>
<Title>&Congruence;</Title>
<Subtitle>Congruence subgroups of <M>SL_2(&ZZ;)</M></Subtitle>
<Version>Version &VERSION;</Version>
<Author>Ann Dooms
<Email>andooms@vub.ac.be</Email>
<Homepage>http://homepages.vub.ac.be/˜andooms</Homepage>
<Address>
Department of Mathematics, Vrije Universiteit Brussel<Br/>
Pleinlaan 2, Brussels, B-1050 Belgium
</Address>
</Author>
<Author>Eric Jespers
<Email>efjesper@vub.ac.be</Email>
<Homepage>http://homepages.vub.ac.be/˜efjesper</Homepage>
<Address>
Department of Mathematics, Vrije Universiteit Brussel<Br/>
Pleinlaan 2, Brussels, B-1050 Belgium
</Address>
</Author>
<Author>Olexandr Konovalov
<Email>obk1@st-andrews.ac.uk</Email>
<Homepage>https://olexandr-konovalov.github.io/</Homepage>
<Address>
School of Computer Science<Br/>
University of St Andrews<Br/>
Jack Cole Building, North Haugh,<Br/>
St Andrews, Fife, KY16 9SX, Scotland
</Address>
</Author>
<Author>Helena Verrill
<Email>verrill@math.lsu.edu</Email>
<Homepage>http://www.math.lsu.edu/˜verrill/</Homepage>
<Address>
Department of Mathematics<Br/>
Louisiana State University<Br/>
Baton Rouge, Louisiana, 70803-4918<Br/>
USA
</Address>
</Author>
<Date>&RELEASEDATE;</Date>
<Abstract>
<Index Key="Congruence package">&Congruence; package</Index>
The &GAP; package &Congruence; provides functionality to
work with congruence subgroups of <M>SL_2(&ZZ;)</M>.
</Abstract>
&Congruence; is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version. For details, see the FSF's own site
<URL>https://www.gnu.org/licenses/gpl.html</URL>.<P/>
If you obtained &Congruence;, we would be grateful for a short notification
sent to one of the authors.<P/>
If you publish a result which was partially obtained with the usage of
&Congruence;, please cite it in the following form:<P/>
A. Dooms, E. Jespers, O. Konovalov and H. Verrill.
<E>Congruence --- Congruence subgroups of <M>SL_2(&ZZ;)</M>, Version &VERSION;;</E>
&RELEASEYEAR; (<URL>https://gap-packages.github.io/congruence/</URL>).
</Copyright>
<Acknowledgements>
We are very grateful to Mong-Lung Lang, Chong-Hai Lim and Ser Peow Tan
for their comments provided while implementing algorithms from
<Cite Key="LLT-Algorithm" /> and <Cite Key="LLT-Hecke" />, and to
Francqui Stichting (Belgium) for the support of the third author.
</Acknowledgements>
</TitlePage>
<TableOfContents/>
<Body>
<#Include SYSTEM "intro.xml">
<#Include SYSTEM "cong.xml">
<#Include SYSTEM "farey.xml">
<#Include SYSTEM "gens.xml">
<#Include SYSTEM "service.xml">
</Body>
<Bibliography Databases="manual"/>
<TheIndex/>
</Book>
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