Splittings of triangle Artin groups


الملخص بالإنكليزية

We show that a triangle Artin group $text{Art}_{MNP}$ where $Mleq Nleq P$ 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.

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