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- Author: Evgenii I Khukhro
- Publisher: Cambridge University Press
- ISBN-10: 052159717X
- ISBN-13: 9780521597173
- Format: 15.2 x 22.9 x 1.3 cm, softcover
- Language: English
- SAVE -10% with code: EXTRA
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Description
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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- Author: Evgenii I Khukhro
- Publisher: Cambridge University Press
- ISBN-10: 052159717X
- ISBN-13: 9780521597173
- Format: 15.2 x 22.9 x 1.3 cm, softcover
- Language: English 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.
Reviews