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5.64 (1976)

Solved

Suppose that a finite group $G$ is the product of two subgroups $A$ and $B$, where $A$ is abelian and $B$ is nilpotent. Find the dependence of the derived length of $G$ on the nilpotency class of $B$ and the order of its derived subgroup.

Contributor: L. A. Shemetkov

Progress

This has been proved (L. S. Kazarin, Math. USSR–Sb., 38 (1981), 47–59).

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