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12.93 (1992)

Solved

Let $N \rightarrowtail G \twoheadrightarrow Q$ be an extension of nilpotent groups, with $Q$ finitely generated, which splits at every prime. Does the extension split? This is known to be true if $N$ is finite or commutative.

Contributor: P. Hilton

Progress

No, not always (K. Lorensen, Math. Proc. Cambridge Philos. Soc., 123, no. 2 (1998), 213–215).

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