Restricted Burnside Problem

Zusatztext 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. Klappentext 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. Zusammenfassung A comprehensive account of the restricted Burnside problem, including a new chapter on the highly acclaimed and recent work from E.I. Zelmanov. 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

Product details

• Authors: Michael Vaughan-Lee, Michael (Lecturer in Mathematics Vaughan-Lee, Vaughan-Lee Michael
• Publisher: Oxford University Press
• Content: Book
• Product form: Hardback
• Publication date: 07.10.1993
• Subject: Natural sciences, medicine, IT, technology > Mathematics
• EAN: 9780198537861
• ISBN: 978-0-19-853786-1
• Pages: 270
• Series: Oxford Science Publications > 8; London Mathematical Society Monographs > 08; London Mathematical Society Monographs > 8; London Mathematical Society Mo > 8
• Subjects: MATHEMATICS / Group Theory; Groups & group theory; Groups and group theory