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The Structure of a Primitive Group

  • John D. Dixon
  • Brian Mortimer
Part of the Graduate Texts in Mathematics book series (GTM, volume 163)

Abstract

In this chapter our focus changes from the combinatorial and ring theoretic representations of permutation groups considered in the last chapter to more direct group theoretic analysis of the groups involved. The point stabilizers of a primitive group form a conjugacy class of maximal subgroups, so classification of primitive groups is closely related to a study of maximal subgroups. Although some of the results in this chapter are valid for infinite groups, the central theorems will apply only to finite groups.

Keywords

Normal Subgroup Simple Group Wreath Product Point Stabilizer Minimal Normal Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • John D. Dixon
    • 1
  • Brian Mortimer
    • 1
  1. 1.Department of Mathematics and StatisticsCarleton UniversityOttawaCanada

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