Hyperbolicity in non-metric cubical small-cancellation
| Autor: | Arenas, Macarena, Jankiewicz, Kasia, Wise, Daniel T. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Given a non-positively curved cube complex $X$, we prove that the quotient of $\pi_1X$ defined by a cubical presentation $\langle X\mid Y_1,\dots, Y_s\rangle$ satisfying sufficient non-metric cubical small-cancellation conditions is hyperbolic provided that $\pi_1X$ is hyperbolic. This generalises the fact that finitely presented classical $C(7)$ small-cancellation groups are hyperbolic. Comment: 19 pages, 7 figures, implemented referee's comments, accepted for publication at Bulletin of the LMS |
| Databáze: | arXiv |
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