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Permutation Groups Book

Permutation Groups
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  • Permutation Groups
  • Written by author John D. Dixon
  • Published by Springer-Verlag New York, LLC, April 1996
  • Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a
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Book Categories

Authors

Preface
Notation
1The Basic Ideas1
2Examples and Constructions33
3The Action of a Permutation Group65
4The Structure of a Primitive Group106
5Bounds on Orders of Permutation Groups143
6The Mathieu Groups and Steiner Systems177
7Multiply Transitive Groups210
8The Structure of the Symmetric Groups255
9Examples and Applications of Infinite Permutation Groups274
Appendix A. Classification of Finite Simple Groups302
Appendix B. The Primitive Permutation Groups of Degree Less than 1000305
References327
Index341


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