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 language | English |
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Journal | Journal of Group Theory |
Early online date | 17 Sep 2024 |
DOIs | |
Publication status | E-pub ahead of print - 17 Sep 2024 |
Keywords
- math.GR
- math.CO
- 20E06, 20F36, 20F65