Finite graph product closure for a conjecture on the BNS-invariant of Artin groups,Archiv der Mathematik

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Finite graph product closure for a conjecture on the BNS-invariant of Artin groups
Archiv der Mathematik ( IF 0.5 ) Pub Date : 2020-10-26 , DOI: 10.1007/s00013-020-01530-8
Kisnney Emiliano de Almeida , Francismar Ferreira Lima

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.

中文翻译：

关于 Artin 群的 BNS 不变量猜想的有限图积闭包

我们对 Almeida 和 Kochloukova 陈述的 Artin 群的 BNS 不变量进行了猜想。我们证明了满足这个猜想的 Artin 群类在有限图积下是封闭的。因此，我们证明该猜想对于所有有限类型的 Artin 群和其他子类都是正确的。

更新日期：2020-10-26

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