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Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups

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Abstract

Let G be a free product of almost soluble groups A and B of finite rank with amalgamated normal subgroup H, where H ≠ A and H ≠ B, and let π be a finite set of primes. We prove that G is an almost residually finite π-group if and only if so are A, B, A/H, and B/H.

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Authors and Affiliations

  1. Ivanovo State University, Ivanovo, Russia

    D. N. Azarov

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  1. D. N. Azarov
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Correspondence to D. N. Azarov.

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Ivanovo. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 2, pp. 249–264, March–April, 2015.

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Azarov, D.N. Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups. Sib Math J 56, 206–216 (2015). https://doi.org/10.1134/S0037446615020020

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  • DOI: https://doi.org/10.1134/S0037446615020020

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