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14.25 (1999)

Solved

Let $qG$ denote the quasivariety generated by a group $G$. Is it true that there exists a finitely generated group $G$ such that the set of proper maximal subquasivarieties in $qG$ is infinite?

Contributor: A. I. Budkin

Progress

Yes, it is (V. V. Bludov, Algebra and Logic, 41, no. 1 (2002), 1–8).

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