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13.19 (1995)

Open

Suppose that both a group $Q$ and its normal subgroup $H$ are subgroups of the direct product $G_1 \times \dots \times G_n$ such that for each $i$ the projections of both $Q$ and $H$ onto $G_i$ coincide with $G_i$. If $Q/H$ is a $p$-group, is $Q/H$ a regular $p$-group?

Contributor: Yu. M. Gorchakov

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