Abstract
Let G be the free product of nilpotent groups A and B of finite rank with amalgamated cyclic subgroup H, H ≠ A and H ≠ B. Suppose that, for some set π of primes, the groups A and B are residually F π , where F π is the class of all finite p-groups. We prove that G is residually F π if and only if H is F π -separable in A and B.
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Ivanovo. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 3, pp. 483–494, May–June, 2016; DOI: 10.17377/smzh.2016.57.301.
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Azarov, D.N. A criterion for the F π -residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks. Sib Math J 57, 377–384 (2016). https://doi.org/10.1134/S0037446616030010
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DOI: https://doi.org/10.1134/S0037446616030010