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Subgroups of even Artin groups of FC-type

Published 26 May 2023 in math.GR and math.CO | (2305.17292v1)

Abstract: We prove a Tits alternative theorem for subgroups of finitely generated even Artin groups of FC type (EAFC groups), stating that there exists a finite index subgroup such that every subgroup of it is either finitely generated abelian, or maps onto a non-abelian free group. Parabolic subgroups play a key role, and we show that parabolic subgroups of EAFC groups are closed under taking roots.

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