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math.GR2026
Finite quotients of spherical Artin groups
Sam Hughes, Thomas Ng, Kaitlin Ragosta +2
We show the smallest non-abelian quotients of spherical and affine Artin groups are isomorphic to the smallest non-abelian quotients of the corresponding Coxeter groups. We deduce…
math.GR2020
Finite image homomorphisms of the braid group and its generalizations
Nancy Scherich, Yvon Verberne
Using totally symmetric sets, Chudnovsky, Kordek, Li, and Partin gave a superexponential lower bound on the cardinality of non-abelian finite quotients of the braid group. In this…
math.GR2018★ 11 cited
Geodesics in the mapping class group
Kasra Rafi, Yvon Verberne
We construct explicit examples of geodesics in the mapping class group and show that the shadow of a geodesic in mapping class group to the curve graph does not have to be a quasi-…