Subgroups of even Artin groups of FC-type

Yago Antolín, Islam Foniqi

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Abstract

We prove a Tits alternative theorem for subgroups of finitely presented even Artin groups of FC type, 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 pivotal role in our proofs, and we show that parabolic subgroups of even Artin groups of FC type are closed under taking roots.
Original languageEnglish
Pages (from-to)431-462
Number of pages32
JournalJournal of Group Theory
Volume28
Issue number2
Early online date17 Sept 2024
DOIs
Publication statusPublished - Apr 2025

Keywords

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

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