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12.97 (1992)

Solved

Let $\mathfrak{F}$ be the formation of all finite groups all of whose composition factors are isomorphic to some fixed simple non-abelian group $T$. Prove that $\mathfrak{F}$ is indecomposable into a product of two non-trivial subformations.

Contributor: L. A. Shemetkov

Progress

It is proved (O. V. Mel’nikov, Problems in Algebra, 9, Gomel’, 1996, 42–47 (Russian)).

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