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p-Automorphisms of Finite p-Groups.
・ISBN 978-0-521-59717-3 paper GB£ 62.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-52600-8
| 著者・編者 | Khukhro, Evgenii I., |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1998 |
| ページ数 | 224 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-8828＞ |
解説
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.