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  1. Home
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  3. p-Automorphisms of Finite p-Groups
  • Cited by 60
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
1998
Online ISBN:
9780511526008
DOI:
https://doi.org/10.1017/CBO9780511526008
Subjects:
Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
Series:
London Mathematical Society Lecture Note Series (246)
Information

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.

Reviews

‘This is a beautiful book. … this book is a delightful introduction to very general techniques in group theory.’

Source: Bulletin of the London Mathmatical Society

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