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P-Automorphisms of Finite P-Groups

P-Automorphisms of Finite P-Groups

Paperback

Series: London Mathematical Society Lecture Note, Book 246

AlgebraGeneral Mathematics

ISBN10: 052159717X
ISBN13: 9780521597173
Publisher: Cambridge University Press
Published: Feb 13 1998
Pages: 224
Weight: 0.74
Height: 0.51 Width: 6.00 Depth: 9.00
Language: English
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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General Mathematics