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Topics in Group Theory

  • D. A. R. Wallace
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

In this final chapter we extend our knowledge of group theory. Among other aspects of finite groups, we investigate permutation groups and obtain two results of cardinal importance in the theory of finite groups. In the first of these, we establish the structure of Abelian groups and, in the second, we establish the existence of the so-called ‘Sylow p-subgroups’ of a finite group.

Keywords

Abelian Group Normal Subgroup Finite Group Cyclic Group Symmetric Group 
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Copyright information

© Springer-Verlag London 1998

Authors and Affiliations

  • D. A. R. Wallace
    • 1
  1. 1.Dept. of MathematicsStrathclyde UniversityGlasgowUK

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