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Journal of Group Theory

Editor-in-Chief: Parker, Christopher W.

Managing Editor: Wilson, John S. / Khukhro, Evgenii I. / Kramer, Linus

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Volume 21, Issue 3


Note on the residual finiteness of Artin groups

Rubén Blasco-García / Arye Juhász / Luis Paris
Published Online: 2018-01-26 | DOI: https://doi.org/10.1515/jgth-2017-0049


Let A be an Artin group. A partition 𝒫 of the set of standard generators of A is called admissible if, for all X,Y𝒫, XY, there is at most one pair (s,t)X×Y which has a relation. An admissible partition 𝒫 determines a quotient Coxeter graph Γ/𝒫. We prove that, if Γ/𝒫 is either a forest or an even triangle free Coxeter graph and AX is residually finite for all X𝒫, then A is residually finite.


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About the article

Received: 2017-10-10

Revised: 2017-12-22

Published Online: 2018-01-26

Published in Print: 2018-05-01

The first named author was partially supported by Gobierno de Aragón, European Regional Development Funds, MTM2015-67781-P (MINECO/ FEDER) and by the Departamento de Industria e Innovación del Gobierno de Aragón and Fondo Social Europeo Phd grant.

Citation Information: Journal of Group Theory, Volume 21, Issue 3, Pages 531–537, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: https://doi.org/10.1515/jgth-2017-0049.

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