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11.44 (1990)

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For a finite group $X$, we denote by $r(X)$ its sectional rank. Is it true that the sectional rank of a finite $p$-group, which is a product $AB$ of its subgroups $A$ and $B$, is bounded by some linear function of $r(A)$ and $r(B)$?

Contributor: L. S. Kazarin

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