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Subgroups of even Artin groups of FC-type
- Publication Year :
- 2023
-
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.
- Subjects :
- Mathematics - Group Theory
Mathematics - Combinatorics
20E06, 20F36, 20F65
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.17292
- Document Type :
- Working Paper