On a theorem of Artin

A.M. Cohen, L. Paris

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)

Abstract

We determine the epimorphisms A --> 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
Original languageEnglish
Pages (from-to)421-441
JournalJournal of Group Theory
Volume6
Issue number4
DOIs
Publication statusPublished - 2003

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