The Restricted Burnside Problem (Hardcover) (ISBN-13: 9780198537861)

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.

Author: Michael Vaughan-Lee
ISBN-10: 0198537867
ISBN-13: 9780198537861
Publisher: OUP Oxford
Language: English
Published: 11/18/1993
Pages: 270
Format: Hardcover
Weight: 1.23lbs
Size: 9.21h x 6.14w x 0.63d