TORSION IN CERTAIN RELATIVELY FREE GROUPS

Authors
TASIC V VAUGHANLEE M
Citation
V. Tasic et M. Vaughanlee, TORSION IN CERTAIN RELATIVELY FREE GROUPS, Bulletin of the London Mathematical Society, 27, 1995, pp. 327-333
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Bulletin of the London Mathematical Society → ACNP
ISSN journal
00246093
Volume
27
Year of publication
1995
Part
4
Pages
327 - 333
Database
ISI
SICI code
0024-6093(1995)27:<327:TICRFG>2.0.ZU;2-5
Abstract
We investigate the variety of groups determined by the identity [[X(1) ,X(2),...,X(m)],[X(m+1),X(m+2),...,X(m+n)]] = 1, and show that relativ ely free groups in this variety are torsion free. This is done by prov ing the analogous statement for Lie rings. The proof yields an affirma tive answer to a question of Djokovic.