Large‐type Artin groups are systolic

Large‐type Artin groups are systolic

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 conjectur...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2020-01, Vol.120 (1), p.95-123
Hauptverfasser: Huang, Jingyin, Osajda, Damian
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Osajda, Damian
description 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 of elements; the Burghelea conjecture; existence of low‐dimensional models for classifying spaces for some families of subgroups.
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title Large‐type Artin groups are systolic
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