Authors
Citation
D. Groves, A note on nonidentical Lie relators, J ALGEBRA, 211(1), 1999, pp. 15-25
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693
→ ACNP
Volume
211
Issue
1
Year of publication
1999
Pages
15 - 25
Database
ISI
SICI code
0021-8693(19990101)211:1<15:ANONLR>2.0.ZU;2-1
Abstract
It has been an open question for many years whether the associated Lie ring
of a relatively free group is necessarily relatively free (see, for exampl
e, [15]). We answer this question in the negative by proving that the varie
ty B4B2 has Lie relators which are not identical Lie relators. (C) 1999 Aca
demic Press.