Ideal for graduate students and researchers working in group theory and Lie rings. Series Editor(s): Hitchin, N. J. Series: London Mathematical Society Lecture Note Series. Num Pages: 224 pages, 138 exercises. BIC Classification: PBG; PBPD. Category: (P) Professional & Vocational. Dimension: 155 x 229 x 13. Weight in Grams: 314. . 2008. 1st Edition. paperback. . . . .

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Bibliographic Details

Title: LMS: 246 P-Automorphisms P-groups (London Mathematical Society Lecture Note Series, Series Number 246)
Publisher: Cambridge University Press
Publication Date: 2008
Language: English
ISBN 10: 052159717X
ISBN 13: 9780521597173
Binding: Soft cover
Edition: 1st Edition
Condition: New

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Synopsis

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.

Book Description

This book is suitable for graduate students and mathematicians working in the fields of Group theory and Lie rings.Relevant preliminary material on Lie rings is introduced and the main theorems of the book are then presented. Many of these theorems arise from strong yet recently obtained results. The book contains over a hundred exercises and a comprehensive bibliography.

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