The Restricted Burnside Problem

Download or read book The Restricted Burnside Problem written by Michael Vaughan-Lee and published by Oxford University Press on Demand. This book was released on 1993 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ofZelmanov'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.