Splittings of triangle Artin groups

preprint2021arXivOpen access

Abstract

We show that a triangle Artin group ArtMNP\text{Art}_{MNP} where M≤N≤PM\leq N\leq P splits as an amalgamated product or an HNN extension of finite rank free groups, provided that either M>2M>2, or N>3N>3. We also prove that all even three generator Artin groups are residually finite.

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