Infinite cyclic verbal subgroups of relatively free groups
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- by A. Storozhev PDF
- Proc. Amer. Math. Soc. 124 (1996), 2953-2954 Request permission
Abstract:
We prove that there exist a relatively free group $H$ and a word $w(x,y)$ in two variables such that the verbal subgroup of $H$ defined by $w(x,y)$ is an infinite cyclic group whereas $w(x,y)$ has only one nontrivial value in $H$.References
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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
- Received by editor(s): March 6, 1995
- Communicated by: Ronald M. Solomon
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2953-2954
- MSC (1991): Primary 20E10, 20F06
- DOI: https://doi.org/10.1090/S0002-9939-96-03521-6
- MathSciNet review: 1343726