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Large-type Artin groups are systolic. (English) Zbl 07194965
Summary: 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 \(E Z\)-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.

MSC:
20F65 Geometric group theory
20F36 Braid groups; Artin groups
20F67 Hyperbolic groups and nonpositively curved groups
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