Abstract
Let G be the free product of polycyclic groups A and B with normal amalgamated subgroups H and K. We prove that, for any prime p, the group G is a virtually residually p-finite group.
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Original Russian Text © A.V. Rozov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 11, pp. 64–71.
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Rozov, A.V. On the virtual residual p-finiteness of the free product of polycyclic groups with normal amalgamated subgroups. Russ Math. 58, 54–59 (2014). https://doi.org/10.3103/S1066369X14110073
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DOI: https://doi.org/10.3103/S1066369X14110073