[1X [5XRepsn[0m[1X [0m [1X A [5XGAP[0m[1X4 Package for constructing representations of finite groups  [0m Version 3.0.1 December 2008 Vahid Dabbaghian  Vahid Dabbaghian  Email: [7Xmailto:vdabbagh@sfu.ca[0m Homepage: [7Xhttp://www.sfu.ca/~vdabbagh[0m Address: Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6 Canada. ------------------------------------------------------- [1XCopyright[0m © 2004 Vahid Dabbaghian. ------------------------------------------------------- [1XAcknowledgements[0m 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 [5XRepsn[0m. This documentation was prepared with the [5XGAPDoc[0m package by Frank Lübeck and Max Neunhöffer. ------------------------------------------------------- [1XContents (repsn)[0X 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 -------------------------------------------------------