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17.123 (2010)

Open

Do there exist finite groups $G_1, G_2$ such that $\pi_e(G_1) = \pi_e(G_2)$, $h(\pi_e(G_1)) < \infty$, and each non-abelian composition factors of each of the groups $G_1, G_2$ is not isomorphic to a section of the other? For definitions see 13.63.

Contributor: W. J. Shi

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