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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Series: |
London Mathematical Society Lecture Note Series |
Release date: |
July 2009 |
First published: |
September 2009 |
Authors: |
Dan Segal
|
Dimensions: |
229 x 152 x 8mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
134 |
ISBN-13: |
978-0-521-74766-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
LSN: |
0-521-74766-X |
Barcode: |
9780521747660 |
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