Local indicability and commutator subgroups of Artin groups

2006/06/05 by Jamie Thomas Mulholland, Jamie Mulholland, Mulholland, Jamie +2
Mathematics · #20F36 #20F60 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GR #msc:20F36 #msc:20F60

paper · pdf · doi:10.48550/arxiv.math/0606116

2 figures

arxiv created 2006/06/05 · openalex publication_date 2006/06/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine which of the finite-type Artin groups are locally indicable, and compute presentations for their commutator subgroups.

Citations

• Discrete Groups Generated by Reflections

Related

• K(π, 1)'s for Artin groups of finite type
• On Artin algebras whose indecomposable modules are determined by composition factors
• Characterising large-type Artin groups
• Fixed subgroups in Artin groups
• Commutators and pronilpotent subgroups in profinite groups