
arXiv: 1706.05473
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
Hyperbolic groups and nonpositively curved groups, FOS: Mathematics, Group Theory (math.GR), Braid groups; Artin groups, Geometric group theory, Mathematics - Group Theory
Hyperbolic groups and nonpositively curved groups, FOS: Mathematics, Group Theory (math.GR), Braid groups; Artin groups, Geometric group theory, Mathematics - Group Theory
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