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Boundaries of hyperbolic groups

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arxiv math/0202286 v1 pith:PO5L7MKZ submitted 2002-02-27 math.GR

Ilya Kapovich , Nadia Benakli This is my paper · ORCID
classification math.GR
keywords boundariesgroupshyperbolicknownregardingresultssurveyword-hyperbolic
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We survey the known results regarding the boundaries of word-hyperbolic groups.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Growth of Approximate Groups in Hyperbolic Groups

    math.GR 2026-06 unverdicted novelty 7.0 of 10

    Proves growth dichotomy for infinite approximate semigroups in hyperbolic groups plus product-growth bounds with linear loss, sharpened in free groups.

  2. Groups with a finite Busemann boundary are virtually cyclic

    math.GR 2025-11 conditional novelty 7.0 of 10

    If a finitely generated group admits a Cayley graph with finitely many Busemann boundary points, then the group is virtually cyclic.

  3. Sublinear Morse Geodesics and First Passage Percolation

    math.GT 2025-07 conditional novelty 6.0 of 10

    If an infinite bounded-degree graph has a sublinearly Morse bi-infinite quasi-geodesic, then first passage percolation almost surely has a bi-infinite geodesic.

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