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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 3 scientific papers (total in 3 papers)

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

E. V. Sokolov

Ivanovo State University
Full-text PDF (281 kB) Citations (3)
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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
The study was supported by the Russian Science Foundation grant no. 22–21–00166, https://rscf.ru/en/project /22-21-00166/.
Received: 20.03.2023
Revised: 20.03.2023
Accepted: 02.08.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 5, Pages 1229–1236
DOI: https://doi.org/10.1134/S0037446623050142
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; Siberian Math. J., 64:5 (2023), 1229–1236
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}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 5
\pages 1229--1236
\crossref{https://doi.org/10.1134/S0037446623050142}
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