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Finite graph product closure for a conjecture on the BNS-invariant of Artin groups

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We work with a conjecture on the BNS-invariant of Artin groups stated by Almeida and Kochloukova. We show that the class of Artin groups that satisfy this conjecture is closed… Click to show full abstract

We work with a conjecture on the BNS-invariant of Artin groups stated by Almeida and Kochloukova. We show that the class of Artin groups that satisfy this conjecture is closed under finite graph products. As a consequence, we show that the conjecture is true for all Artin groups of finite type and other subclasses.

Keywords: conjecture; artin groups; invariant artin; bns invariant; conjecture bns

Journal Title: Archiv der Mathematik
Year Published: 2020

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