Subgroups of even Artin groups of FC-type

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Antolín, Yago and Foniqi, Islam (2024) Subgroups of even Artin groups of FC-type. Journal of Group Theory. ISSN 1433-5883

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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.

Item Type:	Article
Additional Information:	Yago Antolín 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".
Uncontrolled Keywords:	math.gr,math.co,20e06, 20f36, 20f65,algebra and number theory ,/dk/atira/pure/subjectarea/asjc/2600/2602
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Logic (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.scopus.com/inward/record.url?... http://arxiv.org/pdf/2305.17292v1
Depositing User:	LivePure Connector
Date Deposited:	12 Jun 2023 12:41
Last Modified:	12 Feb 2025 01:26
URI:	https://ueaeprints.uea.ac.uk/id/eprint/92363
DOI:	10.1515/jgth-2023-0093

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