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math.GR2025
Homotopy types of complexes of hyperplanes in quasi-median graphs and applications to right-angled Artin groups
Carolyn Abbott, Anthony Genevois, Eduardo Martinez-Pedroza
In this article, we prove that, given two finite connected graphs and , if the two right-angled Artin groups and are quasi-isometric, then the infinite…
math.GR2025
A non-loxodromic Morse element in a Morse local-to-global group
Carolyn Abbott, Stefanie Zbinden
We use small-cancellation techniques to construct a Morse local-to-global group G with an infinite-order Morse element that is not loxodromic in any action of G on a hyperbolic spa…