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P-Automorphisms of Finite P-Groups
- Editore:
Cambridge University Press
- EAN:
9780521597173
- ISBN:
052159717X
- Pagine:
- 224
- Formato:
- Paperback
- Lingua:
- Inglese
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Descrizione 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 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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