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11.62 (1990)

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Describe the groups over which any equation is soluble. In particular, is it true that this class of groups coincides with the class of torsion-free groups? It is easy to see that a group, over which every equation is soluble, is torsion-free. On the other hand, S. D. Brodskiĭ (Siberian Math. J., 25, no. 2 (1984), 235–251) showed that any equation is soluble over a locally indicable group.

Contributor: D. I. Moldavanskiĭ

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