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- W2766614685 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.
- W2766614685 created "2017-11-10" @default.
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- W2766614685 date "2017-10-14" @default.
- W2766614685 modified "2023-09-23" @default.
- W2766614685 title "Metric systolicity and two-dimensional Artin groups" @default.
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- W2766614685 doi "https://doi.org/10.48550/arxiv.1710.05157" @default.
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