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Negative Curvature in Locally Reducible Artin Groups
Dissertation   Open access

Negative Curvature in Locally Reducible Artin Groups

Jill K.S. Mastrocola
Doctor of Philosophy (PHD), Brandeis University, Graduate School of Arts & Sciences
2024
DOI:
https://doi.org/10.48617/etd.1179

Abstract

acylindrical hyperbolicity Artin groups
We define the 2-complete Artin complex and show that it is systolic for locally reducible Artin groups. The stabilizers of simplices in this complex are exactly the proper parabolic subgroups which are "2-complete." We use this systolicity to show that parabolic subgroups, with 2-completions that are not the whole Artin group, are weakly malnormal. This allows us to conclude that many locally reducible Artin groups are acylindrically hyperbolic.
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