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On the root-class residuality of generalized free products with a normal amalgamation

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Abstract

We obtain both necessary and sufficient conditions for the free product of two groups with normal amalgamated subgroups to be a residually C-group, where C is a root class of groups, which must be homomorphically closed in most cases.

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Authors and Affiliations

  1. Ivanovo State University, ul. Ermaka 39, Ivanovo, 153025, Russia

    E. A. Tumanova

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  1. E. A. Tumanova
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Correspondence to E. A. Tumanova.

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Original Russian Text © E.A. Tumanova, 2015, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, No. 10, pp. 27–44.

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Tumanova, E.A. On the root-class residuality of generalized free products with a normal amalgamation. Russ Math. 59, 23–37 (2015). https://doi.org/10.3103/S1066369X15100035

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