The Restricted Burnside Problem: 8 - Rilegato

Vaughan-Lee, Michael

Rilegato

ISBN 10: 0198537867 ISBN 13: 9780198537861

Casa editrice: Clarendon Press, 1993

Riassunto

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.

Su questo libro

Recensione

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. (Monafshefte fur Mathematik, 4 March 1995)

Contenuti

• Preface
• Contents
• Notation
• 1: Basic concepts
• 2: The associated Lie ring of a group
• 3: Kostrikin's Theorem
• 4: Razmyslov's theorem
• 5: Groups of exponent two, three, and six
• 6: Groups of exponent four
• 7: Groups of prime exponent
• 8: Groups of prime-power exponent
• 9: Zelmanov's Theorem
• Appendix A
• Appendix B
• Index

Dettagli dell?edizione

• Editore: Clarendon Press
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0198537867
• ISBN 13: 9780198537861
• Rilegatura: Copertina rigida
• Numero edizione: 2
• Numero di pagine: 270
• Contatto del produttore: Oxford University Press; https://corp.oup.com/; ; WMF Platz 1; Geislingen/Steige; Baden-W?rttemberg; 73312; Germania