Acylindrical hyperbolicity of cubical small-cancellation groups

Goulnara N. Arzhantseva, Mark F. Hagen

Research output: Contribution to journalArticle (Academic Journal)peer-review

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We provide an analogue of Strebel's classification of geodesic triangles in classical $C'(\frac16)$ groups for groups given by Wise's cubical presentations satisfying sufficiently strong metric cubical small-cancellation conditions. Using our classification, we prove that, except in specific degenerate cases, such groups are acylindrically hyperbolic.
Original languageEnglish
Number of pages37
JournalAlgebraic and Geometric Topology
Publication statusPublished - 25 Oct 2022


  • cubical small cancellation
  • acylindrically hyperbolic group


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