P-Automorphisms of Finite P-Groups

by Evgenii I. Khukhro

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.

• Format: Paperback
• Language: English
• ISBN: 052159717X
• ISBN13: 9780521597173
• Release Date: February 1998
• Publisher: Cambridge University Press
• Length: 224 Pages
• Weight: 0.74 lbs.
• Dimensions: 0.5" x 6.0" x 9.0"