Results 1 to 10 of about 66 (66)
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A finitely-presented solvable group with a small quasi-isometry group
Michigan Mathematical Journal, 2007exaly
Żuk’s criterion for Banach spaces and random groups
Forum of Mathematics, Sigma, 2023 We prove a Banach version of Żuk’s criterion for groups acting on partite (i.e., colorable) simplicial complexes. Using this new criterion, we derive a new fixed point theorem for random groups in the Gromov density model with respect to several classes ...
Izhar Oppenheim
doaj +1 more source
Deforming cubulations of hyperbolic groups
Journal of Topology, Volume 14, Issue 3, Page 877-912, September 2021., 2021 Abstract We describe a procedure to deform cubulations of hyperbolic groups by ‘bending hyperplanes’. Our construction is inspired by related constructions like Thurston's Mickey Mouse example, walls in fibred hyperbolic 3‐manifolds and free‐by‐Z groups, and Hsu–Wise turns.
Elia Fioravanti, Mark Hagen
wiley +1 more source
Tits Alternative for $2$ -dimensional $\mathrm {CAT}(0)$ complexes
Forum of Mathematics, Pi, 2022 We prove the Tits Alternative for groups acting on $2$ -dimensional $\mathrm {CAT}(0)$ complexes with a bound on the order of the cell stabilisers.
Damian Osajda, Piotr Przytycki
doaj +1 more source
(Un)distorted stabilisers in the handlebody group
Journal of Topology, Volume 14, Issue 2, Page 460-487, June 2021., 2021 Abstract We study geometric properties of stabilisers in the handlebody group. We find that stabilisers of meridians are undistorted, while stabilisers of primitive curves or annuli are exponentially distorted for large enough genus.
Sebastian Hensel
wiley +1 more source