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XMod

Crossed modules and cat1-groups in GAP

Version 2.009

October 2007

Murat Alp
e-mail: malp@dumlupinar.edu.tr
Address:
Dumlupinar Universitesi,
Fen-Edebiyat Fakultesi, Matematik Bolumu
Merkez Kampus, Kutahya, Turkey.

Chris Wensley
e-mail: c.d.wensley@bangor.ac.uk
WWW: http://www.informatics.bangor.ac.uk/~cwensley/
Address:
School of Informatics, University of Wales Bangor,
Dean Street, Bangor, Gwynedd, LL57 1UT, U.K.

Abstract

The XMod package provides functions for computation with

Copyright

© 1997-2006 by Murat Alp and Chris Wensley

We adopt the copyright regulations of GAP as detailed in the copyright notice in the GAP manual.

Acknowledgements

The first author wishes to acknowledge support from Dumlupinar University and the Turkish government.

Colophon

XMod was originally implemented in 1997 using the GAP3 language. when the first author was studying for a Ph.D. [Alp97] in Bangor.

In April 2002 the first and third parts were converted to GAP4, the pre-structures were added, and version 2.001 was released. The final two parts, covering derivations, sections and actors, were included in the January 2004 release 2.002 for {\GAP}~4.4.

The current version is 2.009, released on October 3rd 2007.

Bug reports, suggestions and comments are, of course, welcome. Please contact the second author at c.d.wensley@bangor.ac.uk.

Contents

1. Introduction
2. 2d-objects
3. 2d-mappings
4. Derivations and Sections
5. Actors of 2d-objects
6. Induced Constructions
7. Crossed squares and their morphisms
8. Utility functions
9. Development history

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