Subgroup Separability of Generalized Free Products of Free-By-Finite Groups

DOI10.4153/CMB-1993-052-3zbMath0813.20031OpenAlexW2324345050MaRDI QIDQ4291070

R. B. J. T. Allenby, C. Y. Tang

Publication date: 30 May 1995

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1993-052-3

zbMATH Keywords

finitely presented groupsfree productsubgroup separablefinitely generated subgroupsolvable word problemfinite-index subgroupsfinitely generated free-by-finite

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26)

Related Items (7)

Separability properties of certain tree products of groups ⋮ Abelian subgroup separability of certain generalized free products of free or finitely generated nilpotent groups. ⋮ Subgroup separable free products with cyclic amalgamation ⋮ Unnamed Item ⋮ Faithful real representations of groups of $F$-type ⋮ Subgroup separability of HNN-extensions with Abelian base group ⋮ On Residual Separability of Subgroups in Split Extensions

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