The Restricted Burnside Problem
Series: London Mathematical Society Monographs; 8;
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Product details:
- Edition number 2
- Publisher Clarendon Press
- Date of Publication 7 October 1993
- ISBN 9780198537861
- Binding Hardback
- No. of pages270 pages
- Size 241x160x21 mm
- Weight 584 g
- Language English 0
Categories
Short description:
A comprehensive account of the restricted Burnside problem, including a new chapter on the highly acclaimed and recent work from E.I. Zelmanov.
MoreLong description:
The first edition of this book provided an account of the restricted Burnside problem making extensive use of Lie ring techniques to provide a uniform treatment of the field. It also included Kostrikin's theorem for groups of prime exponent.
The second edition, as well as providing general updating, contains a new chapter on E.I. Zelmanov's highly acclaimed and recent solution to the Restricted Burnside Problem for arbitrary prime-power exponent. This material is currently only available in papers in Russian journals. This proof of Zelmanov's theorem given in the new edition is self contained, and (unlike Zelmanov's original proof) does not rely on the theory of Jordan algebras.
Altogether the author has produced a thorough and nearly complete study of that important topic which additionally is garnished with a lot of new approaches.
Table of Contents:
Preface
Contents
Notation
Basic concepts
The associated Lie ring of a group
Kostrikin's Theorem
Razmyslov's theorem
Groups of exponent two, three, and six
Groups of exponent four
Groups of prime exponent
Groups of prime-power exponent
Zelmanov's Theorem
Appendix A
Appendix B
Index
