Articoli correlati a The Restricted Burnside Problem: 8
Sinossi
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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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)
Contenuti
- Preface
- Contents
- Notation
- 1: Basic concepts
- 2: The associated Lie ring of a group
- 3: Kostrikin's Theorem
- 4: Razmyslov's theorem
- 5: Groups of exponent two, three, and six
- 6: Groups of exponent four
- 7: Groups of prime exponent
- 8: Groups of prime-power exponent
- 9: Zelmanov's Theorem
- Appendix A
- Appendix B
- Index
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreClarendon Press
- Data di pubblicazione1993
- ISBN 10 0198537867
- ISBN 13 9780198537861
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione2
- Numero di pagine270
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The Restricted Burnside Problem (London Mathematical Society Monographs)
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The Restricted Burnside Problem (Hardcover)
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ISBN 13: 9780198537861
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Hardcover. Condizione: 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. Codice articolo 9780198537861
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The Restricted Burnside Problem (London Mathematical Society Monographs)
Editore:
Oxford University Press, 1993
ISBN 10: 0198537867
ISBN 13: 9780198537861
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The Restricted Burnside Problem (Hardcover)
Editore:
Oxford University Press, Oxford, 1993
ISBN 10: 0198537867
ISBN 13: 9780198537861
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Hardcover. Condizione: 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 our UK warehouse or from our Australian or US warehouses, depending on stock availability. Codice articolo 9780198537861
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The Restricted Burnside Problem
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Buch. Condizione: Neu. Neuware - 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. Codice articolo 9780198537861
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The Restricted Burnside Problem
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The Restricted Burnside Problem: 8 (London Mathematical Society Monographs)
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