Commensurators of geometrically rigid residually finite hyperbolic groups have bounded average distortion.
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2026 2verdicts
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Finitely presented groups with k-planar Cayley graphs have finite-index subgroups with planar Cayley graphs; k-planar coarsely simply connected quasi-transitive graphs are quasi-isometric to planar graphs.
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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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Almost planar finitely presented groups
Finitely presented groups with k-planar Cayley graphs have finite-index subgroups with planar Cayley graphs; k-planar coarsely simply connected quasi-transitive graphs are quasi-isometric to planar graphs.