Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This book gives a summary of these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven.
- Large number of exercises, many introducing material not easily available elsewhere
- Sketch proofs of major theorems indicating the flow of argument
- Many examples of applying the classification of finite simple groups
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Reviews & endorsements
'Cameron's masterly style allows him to cover an enormous amount of ground … it is a delightful book, which every group-theorist should have, either to read systematically or to dip into in odd moments: a randomly-chosen page almost certainly contains something new and instructive.' Gareth A. Jones, Bulletin of the London Mathematical Society
' … an excellent concise account of the modern theory of permutation groups …' W. Knapp, Zentralblatt MATH
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Product details
- Date Published: February 1999
- format: Paperback
- isbn: 9780521653787
- length: 232 pages
- dimensions: 229 x 152 x 13 mm
- weight: 0.32kg
- contains: 12 b/w illus. 120 exercises
- availability: Available
Table of Contents
1. General theory
2. Representation theory
3. Coherent configurations
4. The O'Nan-Scott theorem
5. Oligomorphic groups
6. Miscellanea
7. Tables.
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Permutation Groups

Peter J. Cameron
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Author
Peter J. Cameron, Queen Mary University of London