On a theorem of Artin

Arjeh M. Cohen; Luis Paris

On a theorem of Artin

Group Theory 2007-05-23 v1

Authors: Arjeh M. Cohen , Luis Paris

Abstract

We determine the epimorphisms $A \to W$ from the Artin group $A$ of type $\Gamma$ onto the Coxeter group $W$ of type $\Gamma$ , in case $\Gamma$ 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.

Keywords

coxeter groups

Cite

@article{arxiv.math/0204242,
  title  = {On a theorem of Artin},
  author = {Arjeh M. Cohen and Luis Paris},
  journal= {arXiv preprint arXiv:math/0204242},
  year   = {2007}
}

Related papers

View all related →