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arXiv:1912.10674 [math.GR]AbstractReferencesReviewsResources

Negative curvature in graph braid groups

Anthony Genevois

Published 2019-12-23Version 1

In this article, we initiate a geometric study of graph braid groups. More precisely, by applying the formalism of special colorings introduced in a previous article, we determine precisely when a graph braid group is Gromov-hyperbolic, toral relatively hyperbolic, and acylindrically hyperbolic.

Comments: 29 pages, 9 figures. Extracted from the first version of arXiv:1709.01258
Categories: math.GR
Subjects: 20F65, 20F67, 20F36
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