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The Artin group $A(\\arA_n)$ is isomorphic to the $(n+1)$-strand braid group $B_{n+1}$, and the other three Artin groups are isomorphic to some subgroups of $B_{n+1}$. The inclusions between these subgroups yield monomorphisms $A(\\arB_n)\\to A(\\arA_n)$, $A(\\tilde \\arA_{n-1})\\to A(\\arB_n)$ and $A(\\tilde \\arC_{n-1})\\to A(\\arB_n)$. 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