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Infinite cyclic verbal subgroups of relatively free groups |
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| Authors: | A. Storozhev |
| Affiliation: | Australian Mathematics Trust, University of Canberra, PO Box 1, Belconnen, ACT 2616, Australia |
| 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  . |
| Keywords: | |
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