Packing subgroups in relatively hyperbolic groups.

DOI10.2140/gt.2009.13.1945zbMath1188.20042arXivmath/0609369OpenAlexW3101320206MaRDI QIDQ1016793

Daniel T. Wise, G. Christopher Hruska

Publication date: 14 May 2009

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

Full work available at URL: https://arxiv.org/abs/math/0609369

zbMATH Keywords

subgroups of finite indexword hyperbolic groupsquasiconvex subgroupsrelatively hyperbolic groupscube complexesvirtually nilpotent groupsperipheral subgroupsbounded packing of subgroupsbounded packing propertysubgroups of finite heightsubgroups of finite width

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Nilpotent groups (20F18) Other groups related to topology or analysis (20F38) Asymptotic properties of groups (20F69) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (35)

The Hanna Neumann conjecture for surface groups ⋮ Imitator homomorphisms for special cube complexes ⋮ On the Generalized Membership Problem in Relatively Hyperbolic Groups ⋮ Criterion for Cannon's conjecture. ⋮ AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM ⋮ Quasiconvexity and relatively hyperbolic groups that split. ⋮ Stallings graphs for quasi-convex subgroups ⋮ Packing subgroups in solvable groups ⋮ A combination theorem for special cube complexes. ⋮ On cubulated relatively hyperbolic groups ⋮ Injective metrics on buildings and symmetric spaces ⋮ Virtual specialness of certain graphs of special cube complexes ⋮ Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity ⋮ Projection complexes and quasimedian maps ⋮ Limit sets of relatively hyperbolic groups. ⋮ A combination theorem for strong relative hyperbolicity. ⋮ Algebraic ending laminations and quasiconvexity ⋮ 3-MANIFOLD GROUPS, KÄHLER GROUPS AND COMPLEX SURFACES ⋮ A cubical flat torus theorem and the bounded packing property ⋮ Finiteness properties of cubulated groups ⋮ On strongly quasiconvex subgroups ⋮ Height, graded relative hyperbolicity and quasiconvexity ⋮ Algebraic characterisation of relatively hyperbolic special groups ⋮ Detecting conjugacy stability of subgroups in certain classes of groups ⋮ Height in splittings of relatively hyperbolic groups ⋮ Relative rigidity, quasiconvexity and \(C\)-complexes. ⋮ Quasi‐isometric groups with no common model geometry ⋮ Intersection properties of stable subgroups and bounded cohomology ⋮ Separable subgroups have bounded packing ⋮ On intersections of conjugate subgroups ⋮ COMPLEX OF RELATIVELY HYPERBOLIC GROUPS ⋮ Morphisms between right-angled Coxeter groups and the embedding problem in dimension two ⋮ Growth of quasiconvex subgroups ⋮ Decomposing groups by codimension-1 subgroups ⋮ Coning-off CAT(0) cube complexes

Cites Work

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