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9.82 (1984)

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An infinite group, all of whose proper subgroups are finite, is called quasi-finite. Is it true that an element of a quasi-finite group $G$ is central if and only if it is contained in infinitely many subgroups of $G$?

Contributor: V. P. Shunkov

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No (K. I. Lossov, Dep. no. 5529-V89, VINITI, Moscow, 1988 (Russian)).

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