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18.11 (2014)

Open

Let $G$ and $H$ be subgroups of the automorphism group $\text{Aut}(F_n)$ of a free group $F_n$ of rank $n \geqslant 2$. Is it true that the free product $G \ast H$ embeds in the automorphism group $\text{Aut}(F_m)$ for some $m$?

Contributor: V. G. Bardakov

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