Permutation Groups

By: John D. Dixon, Brian Mortimer

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Hardcover | 1 September 1996

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Hardcover
364 Pages

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23.39 x 15.6 x 2.06

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Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.

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Non-Fiction Mathematics Groups & Group Theory Combinatorics & Graph Theory Topology Algebraic Topology Algebra

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Paperback

Published: 30th September 2012

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Preface
Notation
The Basic Ideas	p. 1
Examples and Constructions	p. 33
The Action of a Permutation Group	p. 65
The Structure of a Primitive Group	p. 106
Bounds on Orders of Permutation Groups	p. 143
The Mathieu Groups and Steiner Systems	p. 177
Multiply Transitive Groups	p. 210
The Structure of the Symmetric Groups	p. 255
Examples and Applications of Infinite Permutation Groups	p. 274
Appendix A. Classification of Finite Simple Groups	p. 302
Appendix B. The Primitive Permutation Groups of Degree Less than 1000	p. 305
References	p. 327
Index	p. 341
Table of Contents provided by Blackwell. All Rights Reserved.

Permutation Groups

At a Glance

Hardcover

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You Can Find This Book In

Other Editions and Formats

Paperback

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