  
  
                                    [1X Repsn [101X
  
  
                [1X Constructing representations of finite groups [101X
  
  
                                     3.1.2
  
  
                                22 January 2024
  
  
                                Vahid Dabbaghian
  
  
  
  Vahid Dabbaghian
      Email:    [7Xmailto:vdabbagh@sfu.ca[107X
      Homepage: [7Xhttps://www.sfu.ca/~vdabbagh[107X
      Address:  [33X[0;14YVahid Dabbaghian[133X
                [33X[0;14YDepartment of Mathematics[133X
                [33X[0;14YSimon Fraser University[133X
                [33X[0;14YBurnaby, British Columbia[133X
                [33X[0;14YV5A 1S6 Canada[133X
  
  
  
  -------------------------------------------------------
  [1XAcknowledgements[101X
  [33X[0;0YThe  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[105X.[133X
  
  [33X[0;0YThis  documentation was prepared with the [5XGAPDoc[105X package by Frank Lübeck and
  Max Neunhöffer.[133X
  
  
  -------------------------------------------------------
  
  
  [1XContents (repsn)[101X
  
  1 [33X[0;0YIntroduction[133X
  2 [33X[0;0YIrreducible Representations[133X
    2.1 [33X[0;0YConstructing Representations[133X
      2.1-1 IrreducibleAffordingRepresentation
      2.1-2 IsAffordingRepresentation
    2.2 [33X[0;0YInduction[133X
      2.2-1 InducedSubgroupRepresentation
    2.3 [33X[0;0YExtension[133X
      2.3-1 ExtendedRepresentation
      2.3-2 ExtendedRepresentationNormal
    2.4 [33X[0;0YCharacter Subgroups[133X
      2.4-1 CharacterSubgroupRepresentation
      2.4-2 IsCharacterSubgroup
      2.4-3 AllCharacterPSubgroups
      2.4-4 AllCharacterStandardSubgroups
      2.4-5 AllCharacterSubgroups
    2.5 [33X[0;0YEquivalent Representation[133X
      2.5-1 EquivalentRepresentation
  3 [33X[0;0YReducible Representations[133X
    3.1 [33X[0;0YConstituents of Representations[133X
      3.1-1 ConstituentsOfRepresentation
      3.1-2 IsReducibleRepresentation
    3.2 [33X[0;0YBlock Representations[133X
      3.2-1 EquivalentBlockRepresentation
  
  
  [32X
