Residual finiteness, QCERF and fillings of hyperbolic groups.

DOI10.2140/gt.2009.13.1043zbMath1229.20037arXiv0802.0709OpenAlexW2083061763MaRDI QIDQ1006147

Jason Fox Manning, Ian Agol, Daniel Groves

Publication date: 19 March 2009

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.0709

zbMATH Keywords

quasiconvex subgroupsLERF groupshyperbolic groupsresidually finite groupssubgroup separable groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67) Residual properties and generalizations; residually finite groups (20E26)

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Piecewise visual, linearly connected metrics on boundaries of relatively hyperbolic groups ⋮ Criterion for Cannon's conjecture. ⋮ Determining Fuchsian groups by their finite quotients ⋮ AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM ⋮ Construction of non-Hopfian groups as direct limits of relatively hyperbolic groups ⋮ Non-colorable hierarchically hyperbolic groups ⋮ Hyperbolic groups acting improperly ⋮ Specializing cubulated relatively hyperbolic groups ⋮ Quasi-hyperbolic planes in relatively hyperbolic groups ⋮ Relatively geometric actions on CAT$\operatorname{CAT}$(0) cube complexes ⋮ On quasiconvexity and relatively hyperbolic structures on groups. ⋮ LERF and the Lubotzky-Sarnak conjecture ⋮ Boundaries of Dehn fillings ⋮ Relative hyperbolicity and relative quasiconvexity for countable groups. ⋮ Dehn filling Dehn twists ⋮ Combination of quasiconvex subgroups of relatively hyperbolic groups. ⋮ Relative cubulations and groups with a 2-sphere boundary ⋮ On intersections of conjugate subgroups ⋮ Geometric group theory and 3-manifolds hand in hand: the fulfillment of Thurston’s vision

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