Extra-large type Artin groups are hierarchically hyperbolic

Autor:	Hagen, Mark, Martin, Alexandre, Sisto, Alessandro
Rok vydání:	2021
Předmět:	Mathematics - Group Theory 20F65 20F36 20F67
Druh dokumentu:	Working Paper
Popis:	We show that Artin groups of extra-large type, and more generally Artin groups of large and hyperbolic type, are hierarchically hyperbolic. This implies in particular that these groups have finite asymptotic dimension and uniform exponential growth. We prove these results by using a combinatorial approach to hierarchical hyperbolicity, via the action of these groups on a new complex that is quasi-isometric both to the coned-off Deligne complex introduced by Martin-Przytycki and to a generalisation due to Morris-Wright of the graph of irreducible parabolic subgroups of finite type introduced by Cumplido-Gebhardt-Gonz\'alez-Meneses-Wiest. Comment: 62 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.04387 Zobrazit plný text záznamu View this record from Arxiv