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• W2964071325 abstract "We introduce the notion of metrically systolic simplicial complexes. We study geometric and large-scale properties of such complexes and of groups acting on them geometrically. We show that all two-dimensional Artin groups act geometrically on metrically systolic complexes. As direct corollaries we obtain new results on two-dimensional Artin groups and all their finitely presented subgroups: we prove that the Conjugacy Problem is solvable, and that the Dehn function is quadratic. We also show several large-scale features of finitely presented subgroups of two-dimensional Artin groups, lying background for further studies concerning their quasi-isometric rigidity." @default.
• W2964071325 created "2019-07-30" @default.
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• W2964071325 date "2019-04-10" @default.
• W2964071325 modified "2023-10-18" @default.
• W2964071325 title "Metric systolicity and two-dimensional Artin groups" @default.
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• W2964071325 doi "https://doi.org/10.1007/s00208-019-01823-6" @default.
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