9.75 (1984)

Open

Find all local formations $\mathfrak{F}$ of finite groups such that, in every finite group, the set of $\mathfrak{F}$-subnormal subgroups forms a lattice.

Progress

Comment of 2015: Subgroup-closed formations with this property are described in (Xiaolan Yi, S. F. Kamornikov, J. Algebra, 444 (2015), 143–151).

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