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

DOI10.1134/s0037446623050142OpenAlexW4387063320MaRDI QIDQ6046809

E. V. Sokolov

Publication date: 6 October 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623050142

zbMATH Keywords

HNN-extensiongeneralized free productfundamental group of a graph of groupsstructure theorem for abelian subgroups

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Combinatorial aspects of groups and algebras (05E16)

Related Items (1)

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

Cites Work

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• The root-class residuality of the fundamental groups of graphs of groups
• Die Untergruppen der freien Produkte von beliebigen Gruppen
• Certain subgroups of groups with a single defining relation
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• Subgroups of HNN Groups and Groups with one Defining Relation

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