Words: Notes on Verbal Width in Groups.

Dan Segal.

ISBN 10: 052174766X / ISBN 13: 9780521747660

Published by Cambridge University Press Cambridge, 2009, 2009

About this Item

First edition. Paperback. Octavo. xi, 121pp. Original printed paperback. A fine copy. London Mathematical Society, Lecture Note Series.

Seller Inventory # C209312

Bibliographic Details

• Title: Words: Notes on Verbal Width in Groups.
• Publisher: Cambridge University Press Cambridge, 2009
• Publication Date: 2009
• Language: English
• ISBN 10: 052174766X
• ISBN 13: 9780521747660
• Binding: Soft cover
• Edition: 1st Edition
• Condition: Fine

About this title

Synopsis

After a forty-year lull, the study of word-values in groups has sprung back into life with some spectacular new results in finite group theory. These are largely motivated by applications to profinite groups, including the solution of an old problem of Serre. This book presents a comprehensive account of the known results, both old and new. The more elementary methods are developed from scratch, leading to self-contained proofs and improvements of some classic results about infinite soluble groups. This is followed by a detailed introduction to more advanced topics in finite group theory, and a full account of the applications to profinite groups. The author presents proofs of some very recent results and discusses open questions for further research. This self-contained account is accessible to research students, but will interest all research workers in group theory.

About the Author

Dan Segal is Senior Research Fellow at All Souls College, Oxford, and Professor of Mathematics at the University of Oxford.