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9.60 (1984)

Solved

Let $\mathfrak{F}$ and $\mathfrak{H}$ be local formations of finite groups and suppose that $\mathfrak{F}$ is not contained in $\mathfrak{H}$. Does $\mathfrak{F}$ necessarily have at least one minimal local non-$\mathfrak{H}$-subformation?

Contributor: A. N. Skiba, L. A. Shemetkov

Progress

No, not necessarily (V. P. Burichenko, Trudy Inst. Math. National Akad. Sci. Belarus’, 21, no. 1 (2013), 15–24 (Russian)).

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