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math.GR2026
Spherical and affine Artin groups, finite quotients, and the isomorphism problem
Sam Hughes, Thomas Ng, Kaitlin Ragosta +2
We compute the smallest non-abelian quotients of spherical and affine Artin groups. Usually, these are isomorphic to the smallest non-abelian quotients of the corresponding Coxeter…
math.GR2022★ 1 cited
Quotients of braid groups by their congruence subgroups
Wade Bloomquist, Peter Patzt, Nancy Scherich
The congruence subgroups of braid groups arise from a congruence condition on the integral Burau representation . We find the image of suc…
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…