P-Automorphisms of Finite P-Groups
Book Details
Format
Paperback / Softback
Book Series
London Mathematical Society Lecture Note Series
ISBN-10
052159717X
ISBN-13
9780521597173
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 13th, 1998
Print length
224 Pages
Weight
314 grams
Dimensions
15.50 x 22.90 x 1.30 cms
Product Classification:
Groups & group theoryGroups and group theoryAlgebraic topology
Ksh 11,150.00
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Suitable for graduate students and researchers working in the fields of group theory and Lie rings. Relevant preliminary material on Lie rings is introduced followed by the main theorems of the book on the solubility of finite p-groups. Includes over a hundred exercises.
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.
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