On a theorem of Artin

2002/04/19 by Arjeh M. Cohen, Luis Paris, Cohen, Arjeh M. +1
Mathematics · #20F36 #20F55 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F36 #msc:20F55

paper · pdf · doi:10.48550/arxiv.math/0204242

arxiv created 2002/04/19 · arxiv updated 2009/11/30

Abstract

We determine the epimorphisms A → 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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