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math.GR2024
Centers of Artin groups defined on cones
Kasia Jankiewicz, MurphyKate Montee
We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. I…
math.GR2024
Products of free groups inside graph braid groups
Kasia Jankiewicz, Kevin Schreve
Given a graph and a number , the associated graph braid group is the fundamental group of the unordered configuration space of points on . Świątkows…
math.GR2024
Generalized Residual Finiteness of Groups
Nic Brody, Kasia Jankiewicz
A countable group is residually finite if every nontrivial element can act nontrivially on a finite set. When a group fails to be residually finite, we might want to measure how dr…