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3.6 (1969)

Solved

Describe the insoluble finite groups in which every soluble subgroup is either 2-closed, $2'$-closed, or isomorphic to $S_4$.

Contributor: V. A. Vedernikov

Progress

This follows from (D. Gorenstein, J. H. Walter, Illinois J. Math., 6 (1962) 553–593; V. D. Mazurov, Soviet Math. Dokl., 7 (1966), 681–682; V. D. Mazurov, V. M. Sitnikov, S. A. Syskin, Algebra and Logic, 9 (1970), 187–204).

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