Largeness of LERF and 1-relator groups.

DOI10.4171/GGD/102zbMath1248.20033arXiv0803.3805MaRDI QIDQ531907

Jack Oliver Button

Publication date: 21 April 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.3805

zbMATH Keywords

subgroups of finite indexword hyperbolic groupsfinitely generated groupsLERF groupslocally extended residually finite groupsfinitely presented groupssubgroup separable groups1-relator groupsdeficiency 1 presentationsfree-by-finite groupslarge groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

Related Items (7)

Redundant relators in cyclic presentations of groups ⋮ The triviality problem for profinite completions ⋮ Strictly ascending HNN extensions in soluble groups. ⋮ LERF and the Lubotzky-Sarnak conjecture ⋮ Proving Finitely Presented Groups are Large by Computer ⋮ Coherence, subgroup separability, and metacyclic structures for a class of cyclically presented groups ⋮ Tubular groups, 1-relator groups and nonpositive curvature

Cites Work

• A non-cyclic one-relator group all of whose finite quotients are cyclic
• Unnamed Item

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