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11.63 (1990)

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Suppose that $G$ is a one-relator group containing non-trivial elements of finite order and $N$ is a subgroup of $G$ generated by all elements of finite order. Is it true that any subgroup of $G$ that intersects $N$ trivially is a free group? One can show that the answer is affirmative in the cases where $G/N$ has non-trivial centre or satisfies a non-trivial identity.

Contributor: D. I. Moldavanskiĭ

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