@article{fa82988886de4fe386175c637ab601d6,
title = "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.",
keywords = "math.GR, math.CO, 20E06, 20F36, 20F65",
author = "Yago Antol{\'i}n and Islam Foniqi",
note = "Yago Antol{\'i}n acknowledges partial support from the Spanish Government through the {"}Severo Ochoa Programme for Centres of Excellence in R&D{"}CEX2019-000904-S, and the grant PID2021-126254NB-I00 funded by MCIN/AEI/10.13039/501100011033. He also acknowledges partial support from the project {"}Santander-UCM 2021{"}PR44/21-29907. Islam Foniqi acknowledges past support from the Department of Mathematics of the University of Milano-Bicocca, the Erasmus Traineeship grant 2020-1-IT02-KA103-078077, and current support from the EPSRC Fellowship grant EP/V032003/1 {"}Algorithmic, topological and geometric aspects of infinite groups, monoids and inverse semigroups{"}.",
year = "2025",
month = apr,
doi = "10.1515/jgth-2023-0093",
language = "English",
volume = "28",
pages = "431--462",
journal = "Journal of Group Theory",
issn = "1433-5883",
publisher = "De Gruyter",
number = "2",
}