The Restricted Burnside Problem

By: Michael Vaughan-Lee

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Hardcover | 7 October 1993 | Edition Number 2

At a Glance

Hardcover
272 Pages

Edition Type
Revised

Dimensions(cm)
23.39 x 15.6 x 1.6

Hardcover

RRP $236.00

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In 1902 William Burnside wrote "A still undecided point in the theory of discontinuous groups is whether the order of a group may not be finite while the order of every operation it contains is finite." Since then, the Burnside problem has inspired a considerable amount of research. This popular text provides a comprehensive account of the many recent results obtained in studies of the restricted Burnside problem by making extensive use of Lie ring techniques that provide for a uniform treatment of the field. The updated and revised second edition includes a new chapter on Zelmanov's highly acclaimed, recent solution to the restricted Burnside problem for arbitrary prime-power exponents. Much of the material presented has until now been available only in Russian journals. This book will be welcomed by researchers and students in group theory.

Industry Reviews

`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

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