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6.2 (1978)

Open

The totality of $C$-closed subgroups of an arbitrary group $G$ is a complete lattice with respect to the operations $A \wedge B = A \cap B$, $A \vee B = C(C(A) \cap C(B))$. Describe the groups whose lattice of $C$-closed subgroups is a sublattice of the lattice of all subgroups.

Contributor: V. A. Antonov, N. F. Sesekin

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