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 accou...

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Bibliographic Details

Main Author:	Segal, Daniel 1947- (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 2009
Series:	London Mathematical Society lecture note series 361
Subjects:	Finite groups Profinite groups Solvable groups Group theory Gruppentheorie
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (xi, 121 pages)
ISBN:	9781139107082
DOI:	10.1017/CBO9781139107082