Results 1 to 10 of about 581 (37)
Stability for hyperbolic groups acting on boundary spheres
Forum of Mathematics, Sigma, 2023 A hyperbolic group G acts by homeomorphisms on its Gromov boundary. We show that if $\partial G$ is a topological n–sphere, the action is topologically stable in the dynamical sense: any nearby action is semi-conjugate to the standard boundary ...
Kathryn Mann, Jason Fox Manning
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Cusps, Kleinian groups, and Eisenstein series
Forum of Mathematics, Sigma, 2023 We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group $\Gamma
Beibei Liu, Shi Wang
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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
Density of Metric Small Cancellation in Finitely Presented Groups [PDF]
Groups, Complexity, Cryptology, 2020 Small cancellation groups form an interesting class with many desirable properties. It is a well-known fact that small cancellation groups are generic; however, all previously known results of their genericity are asymptotic and provide no information ...
Alex Bishop, Michal Ferov
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Curve graphs for Artin–Tits groups of type B, A∼ and C∼ are hyperbolic
Transactions of the London Mathematical Society, 2021 The graph of irreducible parabolic subgroups is a combinatorial object associated to an Artin–Tits group A defined so as to coincide with the curve graph of the (n+1)‐times punctured disk when A is Artin's braid group on (n+1) strands.
Matthieu Calvez +1 more
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CANNON–THURSTON MAPS DO NOT ALWAYS EXIST
Forum of Mathematics, Sigma, 2013 We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a continuous map of the boundaries.
O. BAKER, T. R. RILEY
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Finite index subgroups without unique product in graphical small cancellation groups [PDF]
, 2014 We construct torsion-free hyperbolic groups without unique product whose subgroups up to some given finite index are themselves non-unique product groups.
Gruber, Dominik +2 more
core +3 more sources
AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM
Forum of Mathematics, Pi, 2016 We give an alternate proof of Wise’s malnormal special quotient theorem (MSQT), avoiding cubical small cancelation theory. We also show how to deduce Wise’s Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu and Wise and Haglund and Wise.
IAN AGOL +2 more
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Topological geodesics and virtual rigidity [PDF]
, 2001 We introduce the notion of a topological geodesic in a 3-manifold. Under suitable hypotheses on the fundamental group, for instance word-hyperbolicity, topological geodesics are shown to have the useful properties of, and play the same role in several ...
Bredon +7 more
core +1 more source
CANNON–THURSTON MAPS FOR KLEINIAN GROUPS
Forum of Mathematics, Pi, 2017 We show that Cannon–Thurston maps exist for degenerate free groups without parabolics, that is, for handlebody groups. Combining these techniques with earlier work proving the existence of Cannon–Thurston maps for surface groups, we show that Cannon ...
MAHAN MJ
doaj +1 more source