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13.50 (1995)

Solved

Let $\mathfrak{F}$ be a local Fitting class. Is it true that there are no maximal elements in the partially ordered by inclusion set of the Fitting classes contained in $\mathfrak{F}$ and distinct from $\mathfrak{F}$?

Contributor: A. N. Skiba

Progress

No, there may exist maximal elements (N. V. Savel’eva, N. T. Vorob’ev, Siberian Math. J., 49, no. 6 (2008), 1124–1130).

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