Subgroups of even Artin groups of FC-type

Antolín, Yago and Foniqi, Islam ORCID: https://orcid.org/0000-0002-0829-3464 (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
Uncontrolled Keywords:	math.gr,math.co,20e06, 20f36, 20f65
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://arxiv.org/pdf/2305.17292v1
Depositing User:	LivePure Connector
Date Deposited:	12 Jun 2023 12:41
Last Modified:	22 Dec 2024 01:28
URI:	https://ueaeprints.uea.ac.uk/id/eprint/92363
DOI:	10.1515/jgth-2023-0093

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