The Restricted Burnside Problem

Hardcover | June 1, 1991

byMichael Vaughan-Lee

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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.

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From the Publisher

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. Zelm...

Michael Vaughan-Lee is at Christ Church, Oxford.
Format:HardcoverDimensions:270 pages, 9.21 × 6.14 × 0.83 inPublished:June 1, 1991Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198537867

ISBN - 13:9780198537861

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Table of Contents

PrefaceContentsNotation1. Basic concepts2. The associated Lie ring of a group3. Kostrikin's Theorem4. Razmyslov's theorem5. Groups of exponent two, three, and six6. Groups of exponent four7. Groups of prime exponent8. Groups of prime-power exponent9. Zelmanov's TheoremAppendix AAppendix BIndex

Editorial 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