Divergence, thick groups, and short conjugators

zbMath1353.20024arXiv1110.5005MaRDI QIDQ892087

Jason A. Behrstock, Cornelia Drutu

Publication date: 18 November 2015

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

Full work available at URL: https://arxiv.org/abs/1110.5005

zbMATH Keywords

thicknessgeodesics\(\mathrm{CAT}(0)\) groupsMorse quasi-geodesicspolynomial divergenceshortest conjugators

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Morse quasiflats. I, Divergence of finitely presented subgroups of CAT(0) groups, Divergence of Morse geodesics, Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction, Conjugator lengths in hierarchically hyperbolic groups, Characterizing divergence and thickness in right‐angled Coxeter groups, Square percolation and the threshold for quadratic divergence in random right‐angled Coxeter groups, Conjugator length in Thompson's groups, Coarse injectivity, hierarchical hyperbolicity and semihyperbolicity, Infinitely presented graphical small cancellation groups are acylindrically hyperbolic, Geometry of the conjugacy problem in lamplighter groups, A quasi-isometry invariant and thickness bounds for right-angled Coxeter groups, Hyperbolic quasi-geodesics in CAT(0) spaces., Tracing cyclic homology pairings under twisting of graded algebras, A remark on thickness of free-by-cyclic groups, Contracting boundaries of CAT(0) spaces, On distortion of normal subgroups, The relative hyperbolicity and manifold structure of certain right-angled Coxeter groups, Thick groups have trivial Floyd boundary, Quasi-isometric rigidity of a class of right-angled Coxeter groups, Quasi-isometries of pairs: Surfaces in graph manifolds, The local-to-global property for Morse quasi-geodesics, Negative curvature in graphical small cancellation groups, Divergence of finitely presented groups, Combinatorial higher dimensional isoperimetry and divergence, Higher dimensional divergence for mapping class groups, Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts, Divergence in right-angled Coxeter groups

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