Commensurators of geometrically rigid residually finite hyperbolic groups have bounded average distortion.
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math.GR 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic groups under mild orientability conditions on the JSJ decomposition.
Under the Strong Atiyah Conjecture and vanishing b1^(2), L2-Betti numbers of character kernels define a polytope-induced Thurston seminorm on H^1(G;R), with combinatorial splitting-complexity interpretations for free-by-cyclic and admissible 3-manifold groups.
citing papers explorer
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Average Distortion of Commensurators of Hyperbolic Groups
Commensurators of geometrically rigid residually finite hyperbolic groups have bounded average distortion.
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Outer automorphism groups of hyperbolic groups, bounded extensions, and hierarchical hyperbolicity
Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic groups under mild orientability conditions on the JSJ decomposition.
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Thurston norm, polytopes and splitting complexity
Under the Strong Atiyah Conjecture and vanishing b1^(2), L2-Betti numbers of character kernels define a polytope-induced Thurston seminorm on H^1(G;R), with combinatorial splitting-complexity interpretations for free-by-cyclic and admissible 3-manifold groups.