Repsn

A GAP4 Package
for constructing representations of finite groups  

Version 2.1

February 2007

Vahid Dabbaghian-Abdoly
 

e-mail: vdabbagh@sfu.ca
WWW: http://www.sfu.ca/~vdabbagh
Address:
Department of Mathematics,
Simon Fraser University,
Burnaby, British Columbia,
V5A 1S6 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 AllCharacterStandardSubgroups
      2.4-5 AllCharacterSubgroups
   2.5 Equivalent Representation
      2.5-1 EquivalentRepresentation
3. Reducible Representations
   3.1 Constituents of Representations
      3.1-1 ConstituentsOfRepresentation
      3.1-2 IsReducibleRepresentation
   3.2 Block Representations
      3.2-1 EquivalentBlockRepresentation




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