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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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