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.
Author: Evgenii I. Khukhro Publisher: Cambridge University Press Published: 02/13/1998 Pages: 224 Binding Type: Paperback Weight: 0.74lbs Size: 9.02h x 5.98w x 0.51d ISBN: 9780521597173