Splittings of triangle Artin groups

2021/03/01 by Kasia Jankiewicz, Jankiewicz, Kasia
Mathematics · #20E26 #20F36 #20F65 #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2103.01343

openalex publication_date 2021/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a triangle Artin group Art_MNP where M≤ N≤ P splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either M>2, or N>3. We also prove that all even three generator Artin groups are residually finite.

Related

• Residual finiteness of certain 2-dimensional Artin groups
• Splittings and poly-freeness of triangle Artin groups
• Residual Finiteness of A_2,3,2n Triangle Artin Groups
• Finite Stature in Artin groups
• Subgroup Separability of Artin Groups