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15.38 (2002)

Solved

Does there exist a non-local hereditary composition formation $\mathfrak{F}$ of finite groups such that the set of all $\mathfrak{F}$-subnormal subgroups is a sublattice of the subgroup lattice in any finite group?

Contributor: A. F. Vasil'ev, S. F. Kamornikov

Progress

No, it does not (S. F. Kamornikov, Dokl. Math., 81, no. 1 (2010), 97–100).

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