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Dehn filling in relatively hyperbolic groups , volume=

3 Pith papers cite this work. Polarity classification is still indexing.

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math.GR 3

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2026 3

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Coarse median property of virtually nilpotent groups

math.GR · 2026-06-01 · unverdicted · novelty 8.0

Virtually nilpotent groups are coarse median if and only if virtually abelian, via sub-Riemannian obstruction in the asymptotic cone, completing a lattice classification.

Branched Covers of Hyperbolic Groups

math.GR · 2026-06-16 · unverdicted · novelty 7.0

Branched covers of hyperbolic groups along quasiconvex subgroups are defined and realized through deep Dehn fillings, generalizing 3-manifold constructions and potentially producing spherical-boundary examples.

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  • Coarse median property of virtually nilpotent groups math.GR · 2026-06-01 · unverdicted · none · ref 8

    Virtually nilpotent groups are coarse median if and only if virtually abelian, via sub-Riemannian obstruction in the asymptotic cone, completing a lattice classification.

  • Branched Covers of Hyperbolic Groups math.GR · 2026-06-16 · unverdicted · none · ref 37

    Branched covers of hyperbolic groups along quasiconvex subgroups are defined and realized through deep Dehn fillings, generalizing 3-manifold constructions and potentially producing spherical-boundary examples.

  • Characterizing property (NL) in {C}oxeter groups math.GR · 2026-06-22 · unverdicted · none · ref 43

    Complete characterization of Coxeter groups possessing Property (NL).