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16.37 (2006)

Solved

Let $G$ be a solvable rational finite group with an extra-special Sylow 2-subgroup. Is it true that either $G$ is a 2-nilpotent group, or there is a normal subgroup $E$ of $G$ such that $G/E$ is an extension of a normal 3-subgroup by an elementary abelian 2-group?

Contributor: M. R. Darafsheh

Progress

Yes, it is (M. R. Darafsheh, H. Sharifi, Extracta Math., 22, no. 1 (2007), 83–91).

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