Permutation Groups

Peter J Cameron author

Format:Hardback

Publisher:Cambridge University Press

Published:4th Feb '99

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Permutation Groups cover

This book summarizes recent developments in the study of permutation groups for beginning graduate students.

This book gives a summary of recent developments in the study of permutation groups, 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.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.

'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

ISBN: 9780521653022

Dimensions: 236mm x 157mm x 18mm

Weight: 435g

232 pages