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16.31 (2006)

Solved

Suppose that a group $G$ has a composition series and let $\mathfrak{F}(G)$ be the formation generated by $G$. Is the set of all subformations of $\mathfrak{F}(G)$ finite?

Contributor: V. A. Vedernikov

Progress

No, not always, even for $G$ finite (V. P. Burichenko, J. Algebra, 372 (2012), 428–458).

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