Residual finiteness of certain 2-dimensional Artin groups

Kasia Jankiewicz

Published 2020-06-08Version 1

We show that many 2-dimensional Artin groups are residually finite. This includes 3-generator Artin groups with labels $\geq$ 3 where either at least one label is even, or at most one label is equal 3. As a first step towards residual finiteness we show that these Artin groups, and many more, split as free products with amalgamation or HNN extensions of finite rank free groups. Among others, this holds for all large type Artin groups with defining graph admitting an orientation, where each simple cycle is directed.