Forum Problem Lists Definitions FAQ

9.18 (1984)

Solved

Let $\mathfrak{S}_*$ be the smallest normal Fitting class. Are there Fitting classes which are maximal in $\mathfrak{S}_*$ (with respect to inclusion)?

Contributor: H. Lausch

Progress

No, there are no such classes (N. T. Vorob’yëv, Dokl. Akad. Nauk Belorus. SSR, 35, no. 6 (1991), 485–487 (Russian)).

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