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Repsn

Constructing representations of finite groups

3.1.2

22 January 2024

Vahid Dabbaghian
Email: vdabbagh@sfu.ca
Homepage: https://www.sfu.ca/~vdabbagh
Address:
Vahid Dabbaghian
Department of Mathematics
Simon Fraser University
Burnaby, British Columbia
V5A 1S6 Canada

Acknowledgements

The first version of 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.

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