On Residual Separability of Subgroups in Split Extensions

DOI10.18255/1818-1015-2015-4-500-506zbMath1431.20015arXiv1308.3955OpenAlexW2231445941MaRDI QIDQ5239537

D. I. Moldavanskii, A. A. Uskova

Publication date: 22 October 2019

Published in: Modeling and Analysis of Information Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.3955

zbMATH Keywords

generalized free products of groupsfinitely separable subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (2)

The Ribes-Zalesskii property of some one relator groups ⋮ Unnamed Item

Cites Work

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• An example of a non-LERF group which is a free product of LERF groups with an amalgamated cyclic subgroup
• Some two-generator one-relator non-Hopfian groups
• Subgroup Separability of Generalized Free Products of Free-By-Finite Groups
• A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable
• Nonresidually Finite One-Relator Groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• Coset Representations in Free Groups

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