INFINITE CYCLIC VERBAL SUBGROUPS OF RELATIVELY FREE GROUPS

Authors
Citation
A. Storozhev, INFINITE CYCLIC VERBAL SUBGROUPS OF RELATIVELY FREE GROUPS, Proceedings of the American Mathematical Society, 124(10), 1996, pp. 2953-2954
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
ISSN journal
00029939
Volume
124
Issue
10
Year of publication
1996
Pages
2953 - 2954
Database
ISI
SICI code
0002-9939(1996)124:10<2953:ICVSOR>2.0.ZU;2-3
Abstract
We prove that there exist a relatively free group H and a word w(z, y) in two variables such that the verbal subgroup of H defined by w(x, y ) is an infinite cyclic group whereas w(z, y) has only one nontrivial value in H.