Subgroups of even Artin groups of FC-type

Yago Antolín, Islam Foniqi

Research output: Contribution to journalArticlepeer-review

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
JournalJournal of Group Theory
Early online date17 Sep 2024
DOIs
Publication statusE-pub ahead of print - 17 Sep 2024

Keywords

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

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