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.
General
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