A note on doubles of groups

DOI10.1016/S0022-4049(99)00176-0zbMath0978.20014arXivmath/9809137MaRDI QIDQ5928851

Nadia Benakli, Brian S. Mangum, Yair Glasner, Oliver T. Dasbach

Publication date: 25 October 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809137

zbMATH Keywords

subgroups of finite indexcoherent groupsfinitely generated subgroupsfree productsfree subgroupsgeneralized word problemLERF groupslocally extended residually finite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) 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 (2)

Residual finiteness of certain 2-dimensional Artin groups ⋮ Three amalgams with remarkable normal subgroup structures.

Cites Work

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• On a double of a free group
• Covering theory for graphs of groups
• Subgroups of small Cancellation Groups
• Coherence in doubled groups
• On Some Groups which cannot be Finitely Presented
• Finitely presented simple groups and products of trees
• Incoherent negatively curved groups
• On Group-Theoretic Decision Problems and Their Classification. (AM-68)

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