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<!-- This is an automatically generated file. --> <TitlePage> <Title> XMod </Title> <Subtitle> Crossed Modules and Cat1-Groups </Subtitle> <Version> 2.95 </Version> <Author> Chris Wensley<Alt Only="LaTeX"><Br/></Alt> <Email>cdwensley.maths@btinternet.com</Email> <Homepage>https://github.com/cdwensley</Homepage> </Author> <Author> Murat Alp<Alt Only="LaTeX"><Br/></Alt> <Address> Prof. Dr. M. Alp<Br/> Ömer Halisdemir University<Br/> Art and Science Faculty<Br/> Mathematics Department<Br/> Nigde<Br/> Turkey<Br/> </Address> <Email>muratalp@nigde.edu.tr</Email> </Author> <Author> Alper Odabas<Alt Only="LaTeX"><Br/></Alt> <Address> Dr. A. Odabas <Br/> Osmangazi University <Br/> Arts and Sciences Faculty <Br/> Department of Mathematics and Computer Science <Br/> Eskisehir <Br/> Turkey<Br/> </Address> <Email>aodabas@ogu.edu.tr</Email> </Author> <Author> Enver Onder Uslu<Alt Only="LaTeX"><Br/></Alt> </Author> <Date> 10 July 2025 </Date> <Abstract> The &XMod; package provides functions for computation with <List> <Item> finite crossed modules of groups and cat1-groups, and morphisms of these structures; </Item> <Item> finite pre-crossed modules, pre-cat1-groups, and their Peiffer quotients; </Item> <Item> isoclinism classes of groups and crossed modules; </Item> <Item> derivations of crossed modules and sections of cat1-groups; </Item> <Item> crossed squares and their morphisms, including the actor crossed square of a crossed module; </Item> <Item> crossed modules of finite groupoids (experimental version). </Item> </List> <P/> &XMod; was originally implemented in 1996 using the &GAP;3 language, when the second author was studying fo <P/> In April 2002 the first and third parts were converted to &GAP;4, the pre-structures were added, and v The final two parts, covering derivations, sections and actors, were included in the January 2 <P/> In October 2015 functions for computing isoclinism classes of crossed modules, written by Alp These are contained in Chapter <Ref Chap='chap-isclnc' />, and are described in detail in the pap <P/> Bug reports, suggestions and comments are, of course, welcome. Please submit an issue at <URL>ht <P/> </Abstract> <Copyright> © 1996-2025, Chris Wensley et al. <P/> The &XMod; package is free software; you can redistribute it and/or modify it under the terms of the GNU </Copyright> <Acknowledgements> This documentation was prepared using the &GAPDoc; <Cite Key='GAPDoc'/> and &AutoDoc; <Cite Key='AutoDoc'/> packag The procedure used to produce new releases uses the package <Package>GitHubPagesForGAP</Packa </Acknowledgements> </TitlePage> ¤ Dauer der Verarbeitung: 0.9 Sekunden (vorverarbeitet) ¤*© Formatika GbR, Deutschland |
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2026-03-28