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3.62 (1969)

Solved

(Well-known problem). A finite group is said to be a $D_\pi$-group if any two of its maximal $\pi$-subgroups are conjugate. Is an extension of a $D_\pi$-group by a $D_\pi$-group always a $D_\pi$-group?

Contributor: L. A. Shemetkov

Progress

Yes, it is mod CFSG (E. P. Vdovin, D. O. Revin, Contemp. Math., 402 (2006), 229–263).

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