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Synopsis
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.
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About the Author
Michael Vaughan-Lee is at Christ Church, Oxford.
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The Restricted Burnside Problem (Hardcover)
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Oxford University Press, Oxford, 1993
ISBN 10: 0198537867
ISBN 13: 9780198537861
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Hardcover
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Hardcover. Condition: new. Hardcover. 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-powerexponent. 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) doesnot rely on the theory of Jordan algebras. A comprehensive account of the restricted Burnside problem, including a new chapter on the highly acclaimed and recent work from E.I. Zelmanov. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198537861
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The Restricted Burnside Problem (London Mathematical Society Monographs)
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Restricted Burnside Problem
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The Restricted Burnside Problem (eng)
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Restricted Burnside Problem
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The Restricted Burnside Problem
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The Restricted Burnside Problem
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The Restricted Burnside Problem
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Condition: New. Print on Demand pp. 272 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 7350009
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The Restricted Burnside Problem (London Mathematical Society Monographs)
Published by
Oxford University Press, 1993
ISBN 10: 0198537867
ISBN 13: 9780198537861
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Hardcover
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Cloth. Condition: Very Good. Second Edition. Type: Book N.B. No dust jacket as published. Damage stamp to title page. Bump to base of spine. Seller Inventory # 054630
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