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17.103 (2010)

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Does there exist a continuum of sets $\pi$ of primes for which every finite group possessing a Hall $\pi$-subgroup is a $D_\pi$-group?

Contributor: D. O. Revin

Progress

Comment of 2025: It has been proved that, for any integer $x$, if $\pi$ is the set of all prime numbers $p > x$, then any finite group containing a Hall $\pi$-subgroup is a $D_\pi$-group (K. A. Ilenko, N. V. Maslova, Siberian Math. J., 62, no. 1 (2021), 44–51).

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