The Restricted Burnside Problem (London Mathematical Society Monographs)

Vaughan-Lee, Michael

ISBN 10: 0198537867 / ISBN 13: 9780198537861

Editore: Clarendon Press, 1993

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Codice articolo ERICA75701985378675

Dati bibliografici

• Titolo: The Restricted Burnside Problem (London Mathematical Society Monographs)
• Editore: Clarendon Press
• Data di pubblicazione: 1993
• Lingua: Inglese
• ISBN 10: 0198537867
• ISBN 13: 9780198537861
• Rilegatura: Hardcover
• Edizione: seconda edizione
• Condizione: Like New
• Tipo di libro: book

Descrizione articolo

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.

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)