Infinite cyclic verbal subgroups

of relatively free groups

Author:
A. Storozhev

Journal:
Proc. Amer. Math. Soc. **124** (1996), 2953-2954

MSC (1991):
Primary 20E10, 20F06

MathSciNet review:
1343726

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that there exist a relatively free group and a word in two variables such that the verbal subgroup of defined by is an infinite cyclic group whereas has only one nontrivial value in .

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Additional Information

**A. Storozhev**

Affiliation:
Australian Mathematics Trust, University of Canberra, PO Box 1, Belconnen, ACT 2616, Australia

Email:
ans@amt.canberra.edu.au

DOI:
https://doi.org/10.1090/S0002-9939-96-03521-6

Received by editor(s):
March 6, 1995

Communicated by:
Ronald M. Solomon

Article copyright:
© Copyright 1996
American Mathematical Society