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.
Original language | English |
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Publication status | Published - 26 May 2023 |
Keywords
- math.GR
- math.CO
- 20E06, 20F36, 20F65