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16.80 (2006)

Open

Suppose that a group $G$ is obtained from the free product of torsion-free groups $A_1, \dots, A_n$ by imposing $m$ additional relations, where $m < n$. Is it true that the free product of some $n - m$ of the $A_i$ embeds into $G$?

Contributor: N. S. Romanovskiĭ

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