Subgroups of even Artin groups of FC-type

Antolín, Yago and Foniqi, Islam ORCID: (2023) Subgroups of even Artin groups of FC-type.

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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.

Item Type: Article
Uncontrolled Keywords:,,20e06, 20f36, 20f65
Faculty \ School: Faculty of Science > School of Mathematics
UEA Research Groups: Faculty of Science > Research Groups > Algebra and Combinatorics
Faculty of Science > Research Groups > Logic
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Depositing User: LivePure Connector
Date Deposited: 12 Jun 2023 12:41
Last Modified: 18 Jun 2023 06:37

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