Growth tightness for groups with contracting elements

DOI10.1017/S0305004114000322zbMath1316.20047arXiv1301.5623MaRDI QIDQ2927886

Wen-Yuan Yang

Publication date: 4 November 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5623

zbMATH Keywords

growth ratesgeodesicsfinitely generated groupsnon-positive curvatureCayley graphsrelatively hyperbolic groupsCAT(0) groupsFloyd boundariesgrowth tightnesscontracting elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (12)

Lower bound on growth of non-elementary subgroups in relatively hyperbolic groups ⋮ Stability phenomena for Martin boundaries of relatively hyperbolic groups ⋮ Patterson-Sullivan measures and growth of relatively hyperbolic groups ⋮ Counting conjugacy classes in groups with contracting elements ⋮ The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ Pressure at infinity and strong positive recurrence in negative curvature ⋮ Generic free subgroups and statistical hyperbolicity ⋮ Thick groups have trivial Floyd boundary ⋮ Genericity of contracting elements in groups ⋮ Hausdorff dimension of boundaries of relatively hyperbolic groups ⋮ Growth of quasiconvex subgroups ⋮ A dynamical characterization of acylindrically hyperbolic groups

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• Free Subgroups of Groups with Nontrivial Floyd Boundary

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