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6.13 (1978)

Solved

Is it true that if a non-abelian Sylow 2-subgroup of a finite group $G$ has a non-trivial abelian direct factor, then $G$ is not simple?

Contributor: A. S. Kondratiev

Progress

Yes, it is, mod CFSG (V. V. Kabanov, A. S. Kondratiev, Sylow 2-subgroups of finite groups (a survey), Inst. Math. Mech. UNC AN SSSR, Sverdlovsk, 1979 (Russian)).

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