Repsn

A GAP4 Package
for constructing representations of finite groups  

Version 1.1

May 2004

Vahid Dabbaghian-Abdoly
 

e-mail: vdabbagh@math.carleton.ca
WWW: http://www.math.carleton.ca/~vdabbagh
Address:
School of Mathematics and Statistics,
Carleton University,
Ottawa, Ontario,
K1S 5B6 Canada.

Copyright

(C) 2004 Vahid Dabbaghian-Abdoly.

Acknowledgements

This package was obtained during my Ph.D. studies at Carleton University. I would like to express deep gratitude to my supervisor Professor John D. Dixon whose guidance and support were crucial for the successful completion of this project. I also thank Professor Charles Wright and referees for pointing out some important comments to improve Repsn.

This documentation was prepared with the GAPDoc package by Frank Lübeck and Max Neunhöffer.

Contents

1. Introduction
2. Irreducible Representations
   2.1 Constructing Representations
      2.1-1 IrreducibleAffordingRepresentation
      2.1-2 IsAffordingRepresentation
   2.2 Induction
      2.2-1 InducedSubgroupRepresentation
   2.3 Extension
      2.3-1 ExtendedRepresentation
      2.3-2 ExtendedRepresentationNormal
   2.4 Character Subgroups
      2.4-1 CharacterSubgroupRepresentation
      2.4-2 IsCharacterSubgroup
      2.4-3 AllCharacterPSubgroups
      2.4-4 AllCharacterSubgroups
   2.5 Equivalent Representation
      2.5-1 EquivalentRepresentation




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