The Restricted Burnside Problem

By Michael Vaughan-Lee

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.

• Format: Hardcover
• Language: English
• ISBN: 0198537867
• ISBN13: 9780198537861
• Release Date: November 1993
• Publisher: OUP Oxford
• Length: 270 Pages
• Weight: 1.23 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"