3 papers
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.GR2026
Growth rates, stable subgroups, and regular languages
Kaitlin Ragosta
We show that the language of geodesic words representing elements of a stable subgroup of a group with finite generating set is regular, and that there is a sublanguage…
math.GR2025
A marking graph for finite-type Artin groups
Kaitlin Ragosta
Clean markings on surfaces were a key component in Masur and Minsky's hierarchy machinery, which proved to be a powerful tool in the study of mapping class groups. We construct a m…