p-Automorphisms of Finite p-Groups
£46.99
Part of London Mathematical Society Lecture Note Series
- Author: Evgenii I. Khukhro, Siberian Division of the Russian Academy of Sciences
- Date Published: February 1998
- availability: Available
- format: Paperback
- isbn: 9780521597173
£
46.99
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
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.
Read more- Contains introductory material
- Includes over 100 exercises
- Very affordable paperback in highly respected series
Reviews & endorsements
'This is a beautiful book. … this book is a delightful introduction to very general techniques in group theory.' Bulletin of the London Mathmatical Society
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: February 1998
- format: Paperback
- isbn: 9780521597173
- length: 224 pages
- dimensions: 228 x 153 x 14 mm
- weight: 0.31kg
- contains: 138 exercises
- availability: Available
Table of Contents
Preface
Introduction
1. Preliminaries
2. Automorphisms and their fixed points
3. Nilpotent and soluble groups
4. Finite p-groups
5. Lie rings
6. Associated Lie rings
7. Regular automorphisms of Lie rings
8. Almost regular automorphism of order p: almost nilpotency of p-bounded class
9. The Baker–Hausdorff formula and nilpotent Q-powered groups
10. The correspondences of A.I. Mal'cev and M. Lazard
11. Powerful p-groups
12. Almost regular automorphism of order p^n: almost solubility of p^n-bounded derived length
13. p-Automorphisms with p fixed points
14. Automorphism of order p with p^m fixed points: almost nilpotency of m-bounded class
Bibliography
Index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×