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On the Separability of Abelian Subgroups of the Fundamental Groups of Graphs of Groups. I

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Abstract

We prove a structure theorem for the finitely generated abelian subgroups of the fundamental group of an arbitrary graph of groups and give some auxiliary results needed to describe such subgroups separable by a root class of groups.

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Funding

The study was supported by the Russian Science Foundation grant no. 22–21–00166, https://rscf.ru/en/project /22-21-00166/.

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Authors and Affiliations

  1. Ivanovo State University, Ivanovo, Russia

    E. V. Sokolov

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  1. E. V. Sokolov
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Correspondence to E. V. Sokolov.

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 5, pp. 1083–1093. https://doi.org/10.33048/smzh.2023.64.514

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Sokolov, E.V. On the Separability of Abelian Subgroups of the Fundamental Groups of Graphs of Groups. I. Sib Math J 64, 1229–1236 (2023). https://doi.org/10.1134/S0037446623050142

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  • DOI: https://doi.org/10.1134/S0037446623050142

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