LMS: 246 P-Automorphisms P-groups (London Mathematical Society Lecture Note Series, Series Number 246)

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.

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.