Negative curvature in graphical small cancellation groups

DOI10.4171/GGD/498WikidataQ127925438 ScholiaQ127925438MaRDI QIDQ2319843

Dominik Gruber, David Hume, Christopher H. Cashen, Goulnara N. Arzhantseva

Publication date: 20 August 2019

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03767

zbMATH Keywords

contracting projectionMorse quasi-geodesicgraphical small cancellationHEC property

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (12)

Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction ⋮ Counting conjugacy classes in groups with contracting elements ⋮ Groups acting on hyperbolic spaces -- a survey ⋮ Cogrowth for group actions with strongly contracting elements ⋮ Infinitely presented graphical small cancellation groups are acylindrically hyperbolic ⋮ Comparing topologies on the Morse boundary and quasi-isometry invariance ⋮ Actions of small cancellation groups on hyperbolic spaces ⋮ The geometry of generalized loxodromic elements ⋮ Generic free subgroups and statistical hyperbolicity ⋮ Morse subsets of CAT(0) spaces are strongly contracting ⋮ Genericity of contracting elements in groups ⋮ Small cancellation theory over Burnside groups

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