000 02165nam a22003738i 4500
001 CR9781139107082
003 UkCbUP
005 20200124160211.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 110706s2009||||enk o ||1 0|eng|d
020 _a9781139107082 (ebook)
020 _z9780521747660 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA174.2
_b.S49 2009
082 0 4 _a512.2
_222
100 1 _aSegal, Daniel,
_d1947-
_eauthor.
245 1 0 _aWords :
_bnotes on verbal width in groups /
_cDan Segal.
264 1 _aCambridge :
_bCambridge University Press,
_c2009.
300 _a1 online resource (xi, 121 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v361
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aAfter 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.
650 0 _aFinite groups.
650 0 _aProfinite groups.
650 0 _aSolvable groups.
650 0 _aGroup theory.
776 0 8 _iPrint version:
_z9780521747660
830 0 _aLondon Mathematical Society lecture note series ;
_v361.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139107082
999 _c515863
_d515861