E. V. Sokolov, “On the separability of abelian subgroups of the fundamental groups of graphs of groups. I”, Sibirsk. Mat. Zh., 64:5 (2023), 1083

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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 5, Pages 1083–1093
DOI: https://doi.org/10.33048/smzh.2023.64.514 (Mi smj7816)

This article is cited in 1 scientific paper (total in 1 paper)

On the separability of abelian subgroups of the fundamental groups of graphs of groups. I

E. V. Sokolov

Ivanovo State University

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DOI: https://doi.org/10.33048/smzh.2023.64.514

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.

Keywords: fundamental group of a graph of groups, generalized free product, HNN-extension, structure theorem for abelian subgroups.

Funding agency	Grant number
Russian Science Foundation	22-21-00166

Received: 20.03.2023
Revised: 20.03.2023
Accepted: 02.08.2023

Document Type: Article

UDC: 512.543

Language: Russian

Citation: E. V. Sokolov, “On the separability of abelian subgroups of the fundamental groups of graphs of groups. I”, Sibirsk. Mat. Zh., 64:5 (2023), 1083–1093

Citation in format AMSBIB

\Bibitem{Sok23}

\by E.~V.~Sokolov

\paper On the separability of abelian subgroups of the fundamental groups of graphs of groups.~I

\jour Sibirsk. Mat. Zh.

\yr 2023

\vol 64

\issue 5

\pages 1083--1093

\mathnet{http://mi.mathnet.ru/smj7816}

\crossref{https://doi.org/10.33048/smzh.2023.64.514}

Linking options:

https://www.mathnet.ru/eng/smj7816

https://www.mathnet.ru/eng/smj/v64/i5/p1083

Cycle of papers

On the separability of abelian subgroups of the fundamental groups of graphs of groups. I
E. V. Sokolov
Sibirsk. Mat. Zh., 2023, 64:5, 1083–1093
On the separability of abelian subgroups of the fundamental groups of graphs of groups. II
E. V. Sokolov
Sibirsk. Mat. Zh., 2024, 65:1, 207–228

This publication is cited in the following 1 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	21
Full-text PDF :	1
References:	12
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