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On a theorem of Artin

Arjeh M. Cohen·Luis Paris
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Abstract

We determine the epimorphisms $A \to W$ from the Artin group $A$ of type $Γ$ onto the Coxeter group $W$ of type $Γ$, in case $Γ$ is an irreducible Coxeter graph of spherical type, and we prove that the kernel of the standard epimorphism is a characteristic subgroup of $A$. This generalizes an over 50 years old result of Artin.

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Arjeh M. Cohen, Luis Paris. 2002-04-19. On a theorem of Artin. https://arxiv.org/abs/math/0204242

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