Greenberg's Theorem for Quasiconvex Subgroups of Word Hyperbolic Groups

DOI10.4153/CJM-1996-065-6zbMath0873.20025OpenAlexW2318910871MaRDI QIDQ3128438

Ilya Kapovich, Hamish Short

Publication date: 17 August 1997

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1996-065-6

zbMATH Keywords

subgroups of finite indexword hyperbolic groupslimit setscommensurabilityboundaries of groupsquasi-convex subgroupsGromov hyperbolic groupsgeometrically finite groups of isometriesvirtual normalizers

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07)

Related Items (32)

THE COMBINATION THEOREM AND QUASICONVEXITY ⋮ Kleinian groups and the rank problem. ⋮ Ascending chains of finitely generated subgroups ⋮ Trees, dendrites and the Cannon-Thurston map ⋮ Subset currents on free groups. ⋮ Hyperbolic groups acting improperly ⋮ Amenable hyperbolic groups ⋮ Virtual specialness of certain graphs of special cube complexes ⋮ On quasiconvexity and relatively hyperbolic structures on groups. ⋮ On Some Finiteness Properties in Infinite Groups ⋮ Virtual homological spectral radii for automorphisms of surfaces ⋮ FREELY INDECOMPOSABLE GROUPS ACTING ON HYPERBOLIC SPACES ⋮ Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups ⋮ Subgroup properties of fully residually free groups ⋮ Quasi-convex groups of isometries of negatively curved spaces ⋮ On strongly quasiconvex subgroups ⋮ Engulfing in word-hyperbolic groups ⋮ Cannon-Thurston fibers for iwip automorphisms of FN ⋮ Acylindrical accessibility for groups acting on \(\mathbb{R}\)-trees. ⋮ FOLDINGS, GRAPHS OF GROUPS AND THE MEMBERSHIP PROBLEM ⋮ SOME PROPERTIES OF SUBSETS OF HYPERBOLIC GROUPS ⋮ Equivalence relations that act on bundles of hyperbolic spaces ⋮ Conical limit points and the Cannon-Thurston map ⋮ Hyperbolic groups with planar boundaries ⋮ On Residualizing Homomorphisms Preserving Quasiconvexity^# ⋮ On growth of double cosets in hyperbolic groups ⋮ On residual properties of word hyperbolic groups ⋮ Mapping tori of endomorphisms of free groups ⋮ Cross ratios and cubulations of hyperbolic groups ⋮ Negative curvature in automorphism groups of one-ended hyperbolic groups ⋮ A Geometric Proof of the Structure Theorem for Cyclic Splittings of Free Groups ⋮ Howson property and one-relator groups¹

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