TY  - BOOK
AU  - Segal,Daniel
TI  - Words: notes on verbal width in groups 
T2  - London Mathematical Society lecture note series
SN  - 9781139107082 (ebook)
AV  - QA174.2 .S49 2009
U1  - 512.2 22
PY  - 2009///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Finite groups
KW  - Profinite groups
KW  - Solvable groups
KW  - Group theory
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9781139107082
ER  -