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6.37 (1978)

Solved

(H. Wielandt, O. H. Kegel). Is a finite group $G$ soluble if it has soluble subgroups $A, B, C$ such that $G = AB = AC = BC$?

Contributor: V. S. Monakhov

Progress

Yes, it is (mod CFSG) (L. S. Kazarin, Ukrain. Math. J., 43 (1991), 883–886).

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