Subgroups of even Artin groups of FC-type

Yago Antolín, Islam Foniqi

Research output: Working paperPreprint


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.
Original languageEnglish
Publication statusPublished - 26 May 2023


  • math.GR
  • math.CO
  • 20E06, 20F36, 20F65

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