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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
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.
Received: 20.03.2023 Revised: 20.03.2023 Accepted: 02.08.2023
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
Linking options:
https://www.mathnet.ru/eng/smj7816 https://www.mathnet.ru/eng/smj/v64/i5/p1083
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Abstract page: | 27 | Full-text PDF : | 8 | References: | 19 | First page: | 1 |
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