1 citations · 1 across the 8 of their papers we have counts for
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A new class of affine arrangements
Katherine Goldman, Jingyin Huang
We show that a certain class of affine hyperplane arrangements are by endowing their Falk complexes with an injective metric. This gives new examples of infinite …
The Deligne Complex for the Artin Group
Katherine Goldman, Amy Herron
We show that the piecewise Euclidean Moussong metric on the Deligne complex of the Artin group of type is . We do this by establishing a criteria for a compl…
2-dimensional Shephard groups
Katherine Goldman
The 2-dimensional Shephard groups are quotients of 2-dimensional Artin groups by powers of standard generators. We show that such a quotient is not if the powers…
CAT(0) and cubulated Shephard groups
Katherine Goldman
Shephard groups are common generalizations of Coxeter groups, Artin groups, and graph products of cyclic groups. Their definition is similar to that of a Coxeter group, but generat…
Simplicial pseudohyperplane arrangements give weak Garside groups
Katherine Goldman
In this note we connect the language of Bessis's Garisde categories with Salvetti's metrical-hemisphere complexes in order to find new examples of weak Garside groups. As our main…
The conjecture and acylindrical hyperbolicity for relatively extra-large Artin groups
Katherine Goldman
Let be an Artin group with defining graph . We introduce the notion of being extra-large relative to a family of arbitrary parabolic subgroups. This generalizes a re…