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LMS: 246 P-Automorphisms P-groups
Author(s): Evgenii I. Khukhro (Author)
- Publisher: Cambridge University Press
- Publication Date: 21 Aug. 2008
- Edition: 1st
- Language: English
- Print length: 224 pages
- ISBN-10: 9780545115193
- ISBN-13: 052159717X
Book Description
This book provides a detailed but concise account of the theory of structure of finite p-groups admitting p-automorphisms with few fixed points. The relevant preliminary material on Lie rings is introduced and the main theorems of the book on the solubility of finite p-groups are then presented. The proofs involve notions such as viewing automorphisms as linear transformations, associated Lie rings, powerful p-groups, and the correspondences of A. I. Mal’cev and M. Lazard given by the Baker–Hausdorff formula. Many exercises are included. This book is suitable for graduate students and researchers working in the fields of group theory and Lie rings.
Editorial Reviews
Review
‘This is a beautiful book. … this book is a delightful introduction to very general techniques in group theory.’ Bulletin of the London Mathmatical Society
Book Description
Ideal for graduate students and researchers working in group theory and Lie rings.
