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Necessary conditions of the approximability of generalized free products and HNN-extensions of groups

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Abstract

We obtain a generalization of Shirvani’s results on necessary conditions of residual finiteness of generalized free products and HNN-extensions of groups to the case of residually C groups, where C is an arbitrary class of groups.

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Authors and Affiliations

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

    A. E. Kuvaev & E. V. Sokolov

Authors
  1. A. E. Kuvaev
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  2. E. V. Sokolov
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Correspondence to A. E. Kuvaev.

Additional information

Original Russian Text © A.E. Kuvaev, E.V. Sokolov, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 9, pp. 36–47.

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Kuvaev, A.E., Sokolov, E.V. Necessary conditions of the approximability of generalized free products and HNN-extensions of groups. Russ Math. 61, 32–42 (2017). https://doi.org/10.3103/S1066369X17090043

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  • DOI: https://doi.org/10.3103/S1066369X17090043

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