Large-type Artin groups are systolic

Abstract

We prove that Artin groups from a class containing all large-type Artin groups are systolic. This provides a concise yet precise description of their geometry. Immediate consequences are new results concerning large-type Artin groups: biautomaticity; existence of $EZ$-boundaries; the Novikov conjecture; descriptions of finitely presented subgroups, of virtually solvable subgroups, and of centralizers for infinite order elements; the Burghelea conjecture; existence of low-dimensional models for classifying spaces for some families of subgroups.

final preprint version, to appear in Proc. Lond. Math. Soc

References in corpus (2)

• Boundaries of systolic groups
• Hyperbolic isometries and boundaries of systolic complexes

Cited by in corpus (11)

• Helly meets Garside and Artin
• Helly groups
• Boundary amenability and measure equivalence rigidity among two-dimensional Artin groups of hyperbolic type
• Metric systolicity and two-dimensional Artin groups
• Graphs with convex balls
• Tits Alternative for groups acting properly on $2$-dimensional recurrent complexes (with an appendix written jointly with Jon McCammond)
• Biautomatic structures in systolic Artin groups
• Random Artin groups
• Distance labeling schemes for $K_4$-free bridged graphs
• Open Cones and $K$-theory for ${\ell }^p$ Roe Algebras
• On the Hochschild homology of l^1-rapid decay group algebras