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The Restricted Burnside Problem als Buch
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The Restricted Burnside Problem

Second. Sprache: Englisch.
Buch (gebunden)
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... weiterlesen
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The Restricted Burnside Problem als Buch
Produktdetails
Titel: The Restricted Burnside Problem
Autor/en: Michael Vaughan-Lee

ISBN: 0198537867
EAN: 9780198537861
Second.
Sprache: Englisch.
OXFORD UNIV PR

Juli 1993 - gebunden - 272 Seiten

Beschreibung

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.

Inhaltsverzeichnis

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

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