Factor Groups, Permutation Representations, Finite Point Groups

  • Cyril F. Gardiner
Part of the Universitext book series (UTX)


In order to prove the conjecture that ‘the order of the subgroup divides the order of the group’ in section 3.1, we introduced certain subsets of a group called right cosets. As pointed out in definition 3.1.1 we could equally well have considered left cosets. This leads at once to certain questions.


Abelian Group Symmetry Group Normal Subgroup Conjugacy Class Simple Group 
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Copyright information

© Springer-Verlag New York Inc. 1980

Authors and Affiliations

  • Cyril F. Gardiner
    • 1
  1. 1.Department of MathematicsUniversity of ExeterExeterEngland

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