Words

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.

ISBN 052174766X   Volumes 1 ISBN13 9780521747660 (What's this?)   Weight (grammes) 210 Publisher Cambridge University Press   Published in Cambridge Imprint Cambridge University Press   Series ISSN 0076-055 Format Paperback   Series title London Mathematical Society Lecture Note Series Publication date 16 Jul 2009   Height (mm) 228 DEWEY 512   Width (mm) 152 DEWEY edition DC22   Spine width (mm) 8 Pages 134   Academic level Professional / Scholarly

		Preface
1		Generalities
2		Verbally elliptic classes
3		Words of infinite width
4		Words and profinite groups
5		Algebraic and analytic groups
		Appendix
		Bibliography
		Index

"The monograph under review provides a concise, expository account of verbal width in groups, accessible to a broad readership. The book is a valuable contribution to this particular area of group theory. In addition to key results and techniques, it contains a fair number of exercises and it points toward a range of open problems." Benjamin Klopsch, Mathematical Reviews

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