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Subgroups of even Artin groups of FC-type

Authors :
Antolín, Yago
Foniqi, Islam
Publication Year :
2023

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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2305.17292
Document Type :
Working Paper