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math.GR2026
Outer automorphisms of HNN extensions of abelian groups
Naomi Andrew, Sam Hughes, Motiejus Valiunas
Let be a commensurating HNN extension of a finitely generated free abelian group. We characterise when is finitely generated and derive structural information…
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…