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This second edition develops the foundations of finite group theory. For students already exposed to a first course in algebra, it serves as a text for a course on finite groups. For the reader with some mathematical sophistication but limited knowledge of finite group theory, the book supplies the basic background necessary to begin to read journal articles in the field. It also provides the specialist in finite group theory with a reference on the foundations of the subject. Unifying themes include the Classification Theorem and the classical linear groups. Lie theory appears in chapters on Coxeter groups, root systems, buildings, and Tits systems. This second edition has been considerably improved with a completely rewritten Chapter 15 considering the 2-Signalizer Functor Theorem, and the addition of an appendix containing solutions to exercises.Read more
- Book will be a nice companion to Aschbacher's Sporadic Groups - that is in production now
Reviews & endorsements
'I consider this book as an extremely valuable source and help for anyone interested in a serious study of finite groups.' U. Dempwolff, Zentralblatt MATH
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- Edition: 2nd Edition
- Date Published: June 2000
- format: Paperback
- isbn: 9780521786751
- length: 318 pages
- dimensions: 228 x 153 x 18 mm
- weight: 0.42kg
- contains: 25 b/w illus.
- availability: Available
Table of Contents
1. Preliminary results
2. Permutation representations
3. Representations of groups on groups
4. Linear representations
5. Permutation groups
6. Extensions of groups and modules
7. Spaces with forms
9. Change of field of a linear representation
10. Presentations of groups
11. The generalized Fitting subgroup
12. Linear representations of finite groups
13. Transfer and fusion
14. The geometry of groups of Lie type
15. Signalizer functors
16. Finite simple groups.
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