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Root class residuality of HNN-extensions with central cyclic associated subgroups

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Abstract

Let R be a root class of groups which is closed with respect to passage to quotient groups and contains at least one nonidentity group. A criterion for the R-residuality of an HNN-extension whose associated subgroups are cyclic and belong to the center of the base group is obtained.

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Authors and Affiliations

  1. Ivanovo State University, Ivanovo, Russia

    E. V. Sokolov & E. A. Tumanova

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  1. E. V. Sokolov
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  2. E. A. Tumanova
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Correspondence to E. V. Sokolov.

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Original Russian Text © E. V. Sokolov, E. A. Tumanova, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 4, pp. 597–612.

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Sokolov, E.V., Tumanova, E.A. Root class residuality of HNN-extensions with central cyclic associated subgroups. Math Notes 102, 556–568 (2017). https://doi.org/10.1134/S0001434617090280

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  • DOI: https://doi.org/10.1134/S0001434617090280

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