Subgroups of even Artin groups of FC type
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.
Authors
- Islam Foniqi (ORCID: https://orcid.org/0000-0002-0829-3464)
- Yago Antolín (ORCID: https://orcid.org/0000-0002-6716-8508)
Institutions
- University of East Anglia (GB)
- Universidad Complutense de Madrid (ES)
- Institute of Mathematical Sciences (ES)
- Universidad Carlos III de Madrid (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Journal
- Journal of Group Theory
- Published
- 2024-09-16
- DOI
- https://doi.org/10.1515/jgth-2023-0093
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.01
Funders
- Universidad Complutense de Madrid
- Ministerio de Ciencia e Innovación
- Engineering and Physical Sciences Research Council
- Erasmus+
- Agencia Estatal de Investigación