Permutation Groups

Peter J. Cameron (Queen Mary University of London), J. Bruce

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English

Cambridge University Pres
05 April 1999

Mathematics & Sciences; Groups & group theory

Series: London Mathematical Society Student Texts

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.

By: Peter J. Cameron (Queen Mary University of London)
Series edited by: J. Bruce
Imprint: Cambridge University Pres
Country of Publication: United Kingdom
Volume: No. 45
Dimensions: Height: 229mm, Width: 152mm, Spine: 13mm
Weight: 320g
ISBN: 9780521653787
ISBN 10: 0521653789
Series: London Mathematical Society Student Texts
Pages: 232
Publication Date: 05 April 1999
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. General theory; 2. Representation theory; 3. Coherent configurations; 4. The O'Nan-Scott theorem; 5. Oligomorphic groups; 6. Miscellanea; 7. Tables.

Reviews for Permutation Groups

'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