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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the finite images of some one-relator groups


Authors: D. Moldavanski and N. Sibyakova
Journal: Proc. Amer. Math. Soc. 123 (1995), 2017-2020
MSC: Primary 20F05; Secondary 20E26
MathSciNet review: 1273511
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Abstract: It is shown that the group $ G = \langle a,b;{a^{ - 1}}ba = {b^k}\rangle (k \ne 0)$ is determined in the class of all residually finite one-relator groups by the set of its finite images.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1273511-5
PII: S 0002-9939(1995)1273511-5
Article copyright: © Copyright 1995 American Mathematical Society