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18.17 (2014)

Solved

Is there a torsion-free group which is finitely presented in the quasi-variety of torsion-free groups but not finitely presentable in the variety of all groups?

Contributor: O. V. Belegradek

Progress

Yes, there is (A. I. Budkin, Siberian Electron. Math. Rep., 14 (2017), 937–945, http://semr.math.nsc.ru).

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