10.34 (1986)

Open

Does there exist a non-soluble finite group which coincides with the product of any two of its non-conjugate maximal subgroups?

Progress

Editors’ comment: the answer is negative for almost simple groups (T. V. Tikhonenko, V. N. Tyutyanov, Siberian Math. J., 51, no. 1 (2010), 174–177).

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