Permutation Groups: PERMUTATION GROUPS

Hardcover | April 11, 1996

byJohn D. DixonEditorF. W. Gehring, P. R. Halmos

not yet rated|write a review
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.

Pricing and Purchase Info

$128.89 online
$128.95 list price
In stock online
Ships free on orders over $25

From the Publisher

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 topic...

Format:HardcoverDimensions:360 pages, 9.25 × 6.1 × 0.1 inPublished:April 11, 1996Publisher:Springer

The following ISBNs are associated with this title:

ISBN - 10:0387945997

ISBN - 13:9780387945996

Look for similar items by category:

Customer Reviews of Permutation Groups: PERMUTATION GROUPS

Reviews

Extra Content

Table of Contents

Preface. Notation. 1: The Basic Ideas. 2: Examples and Constructions. 3: The Action of a Permutation Group. 4: The Structure of a Primitive Group. 5: Bounds on Orders of Permutation Groups. 6: The Mathieu Groups and Steiner Systems. 7: Multiply Transitive Groups. 8: The Structure of the Symmetric Groups. 9: Examples and Applications of Infinite Permutation Groups. Appendix A: Classification of Finite Simple Groups. Appendix B: The Primitive Permutation Groups of Degree Less than 1000. References. Index.