Hyperbolicity in non-metric cubical small-cancellation

Autor:	Arenas, Macarena, Jankiewicz, Kasia, Wise, Daniel T.
Rok vydání:	2023
Předmět:	Mathematics - Group Theory 20F06 20F67 20F65
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
Externí odkaz:	http://arxiv.org/abs/2309.16860 Zobrazit plný text záznamu View this record from Arxiv