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14.79 (1999)

Open

Suppose that $\mathfrak{F} = \mathfrak{MH} = \operatorname{lFit}(G)$ is a soluble one-generated local Fitting class of finite groups where $\mathfrak{H}$ and $\mathfrak{M}$ are Fitting classes and $\mathfrak{M} \neq \mathfrak{F}$. Is $\mathfrak{H}$ a local Fitting class?

Contributor: A. N. Skiba

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