Groups acting distally and minimally on $\mathbb S^2$ and $\mathbb {RP}^2$

Let $X$ be the $2$-sphere $\mathbb S^2$ or the real projective plane $\mathbb {RP}^2$. We show that if $Γ$ is a finitely generated group acting minimally and distally on $X$, then $Γ$ contains a nonabelian free subgroup.

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