On residual properties of word hyperbolic groups

DOI10.1515/JGT.2006.045zbMath1116.20022arXivmath/0506606MaRDI QIDQ3413642

Ashot Minasyan

Publication date: 13 December 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506606

zbMATH Keywords

quasiconvex subgroupsCayley graphshyperbolic groupsresidually finite groupsprofinite topologiesfinite index subgroupsengulfed subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

Related Items (1)

Finitely generated subgroups of lattices in $\mathrm {PSL}_2\mathbb {C}$

Cites Work

• Engulfing in word-hyperbolic groups
• Quasiconvex subgroups of negatively curved groups
• Doubles of groups and hyperbolic LERF \(3\)-manifolds
• Greenberg's Theorem for Quasiconvex Subgroups of Word Hyperbolic Groups
• Engulfing and Subgroup Separability for Hyperbolic Groups
• PERIODIC FACTOR GROUPS OF HYPERBOLIC GROUPS
• Subgroups of Surface Groups are Almost Geometric
• ON RESIDUALING HOMOMORPHISMS AND G-SUBGROUPS OF HYPERBOLIC GROUPS
• SOME PROPERTIES OF SUBSETS OF HYPERBOLIC GROUPS
• On Residualizing Homomorphisms Preserving Quasiconvexity^#
• On Finitely Generated Subgroups of Free Products
• ON PRODUCTS OF QUASICONVEX SUBGROUPS IN HYPERBOLIC GROUPS
• Coset Representations in Free Groups
• Groups with Finite Classes of Conjugate Elements (In Memoriam Issai Schur)

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