P-automorphisms of finite p-groups
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...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
1998
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| Series: | London Mathematical Society lecture note series
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| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
| Summary: | 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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| Physical Description: | xvii, 204 pages digital |
| ISBN: | 9780511526008 |