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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1998
|
| Series: | London Mathematical Society lecture note series
246 |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| 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 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xvii, 204 pages) |
| ISBN: | 9780511526008 |
| DOI: | 10.1017/CBO9780511526008 |
Staff View
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| 245 | 1 | 0 | |a P-automorphisms of finite p-groups |c E.I. Khukhro |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1998 | |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g Ch. 1 |t Preliminaries |g Ch. 2 |t Automorphisms and their fixed points |g Ch. 3 |t Nilpotent and soluble groups |g Ch. 4 |t Finite p-groups |g Ch. 5 |t Lie rings |g Ch. 6 |t Associated Lie rings |g Ch. 7 |t Regular automorphisms of Lie rings |g Ch. 8 |t Almost regular automorphisms of order p: almost nilpotency of p-bounded class |g Ch. 9 |t The Baker-Hausdorff Formula and nilpotent Q-powered groups |g Ch. 10 |t The correspondences of A.I. Mal'cev and M. Lazard |g Ch. 11 |t Powerful p-groups |g Ch. 12 |t Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length |g Ch. 13 |t p-Automorphisms with p fixed points |
| 520 | |a 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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Record in the Search Index
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| any_adam_object | |
| author | Khukhro, Evgenii I. 1956- |
| author_facet | Khukhro, Evgenii I. 1956- |
| author_role | aut |
| author_sort | Khukhro, Evgenii I. 1956- |
| author_variant | e i k ei eik |
| building | Verbundindex |
| bvnumber | BV043942025 |
| classification_rvk | SI 320 SK 260 |
| collection | ZDB-20-CBO |
| contents | Preliminaries Automorphisms and their fixed points Nilpotent and soluble groups Finite p-groups Lie rings Associated Lie rings Regular automorphisms of Lie rings Almost regular automorphisms of order p: almost nilpotency of p-bounded class The Baker-Hausdorff Formula and nilpotent Q-powered groups The correspondences of A.I. Mal'cev and M. Lazard Powerful p-groups Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length p-Automorphisms with p fixed points |
| ctrlnum | (ZDB-20-CBO)CR9780511526008 (OCoLC)967684035 (DE-599)BVBBV043942025 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526008 |
| format | Electronic eBook |
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| id | DE-604.BV043942025 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511526008 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350995 |
| oclc_num | 967684035 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvii, 204 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Khukhro, Evgenii I. 1956- Verfasser aut P-automorphisms of finite p-groups E.I. Khukhro Cambridge Cambridge University Press 1998 1 online resource (xvii, 204 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 246 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Ch. 1 Preliminaries Ch. 2 Automorphisms and their fixed points Ch. 3 Nilpotent and soluble groups Ch. 4 Finite p-groups Ch. 5 Lie rings Ch. 6 Associated Lie rings Ch. 7 Regular automorphisms of Lie rings Ch. 8 Almost regular automorphisms of order p: almost nilpotency of p-bounded class Ch. 9 The Baker-Hausdorff Formula and nilpotent Q-powered groups Ch. 10 The correspondences of A.I. Mal'cev and M. Lazard Ch. 11 Powerful p-groups Ch. 12 Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length Ch. 13 p-Automorphisms with p fixed points 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 Automorphisms Finite groups Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Automorphismus (DE-588)4143709-3 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Automorphismus (DE-588)4143709-3 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-59717-3 https://doi.org/10.1017/CBO9780511526008 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Khukhro, Evgenii I. 1956- P-automorphisms of finite p-groups Preliminaries Automorphisms and their fixed points Nilpotent and soluble groups Finite p-groups Lie rings Associated Lie rings Regular automorphisms of Lie rings Almost regular automorphisms of order p: almost nilpotency of p-bounded class The Baker-Hausdorff Formula and nilpotent Q-powered groups The correspondences of A.I. Mal'cev and M. Lazard Powerful p-groups Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length p-Automorphisms with p fixed points Automorphisms Finite groups Endliche Gruppe (DE-588)4014651-0 gnd Automorphismus (DE-588)4143709-3 gnd |
| subject_GND | (DE-588)4014651-0 (DE-588)4143709-3 |
| title | P-automorphisms of finite p-groups |
| title_alt | Preliminaries Automorphisms and their fixed points Nilpotent and soluble groups Finite p-groups Lie rings Associated Lie rings Regular automorphisms of Lie rings Almost regular automorphisms of order p: almost nilpotency of p-bounded class The Baker-Hausdorff Formula and nilpotent Q-powered groups The correspondences of A.I. Mal'cev and M. Lazard Powerful p-groups Almost regular automorphism of order p[superscript n]: almost solubility of p[superscript n]-bounded derived length p-Automorphisms with p fixed points |
| title_auth | P-automorphisms of finite p-groups |
| title_exact_search | P-automorphisms of finite p-groups |
| title_full | P-automorphisms of finite p-groups E.I. Khukhro |
| title_fullStr | P-automorphisms of finite p-groups E.I. Khukhro |
| title_full_unstemmed | P-automorphisms of finite p-groups E.I. Khukhro |
| title_short | P-automorphisms of finite p-groups |
| title_sort | p automorphisms of finite p groups |
| topic | Automorphisms Finite groups Endliche Gruppe (DE-588)4014651-0 gnd Automorphismus (DE-588)4143709-3 gnd |
| topic_facet | Automorphisms Finite groups Endliche Gruppe Automorphismus |
| url | https://doi.org/10.1017/CBO9780511526008 |
| work_keys_str_mv | AT khukhroevgeniii pautomorphismsoffinitepgroups |