Geodesic
On one generalization of the concept of a group exponent
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2003), pp. 28-31.

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Let $X$ and $Y$ be subgroups of a group $G$. The concept of an exponential of $F$ relative to $H$ is introduced, generalizing the concept of an exponential of a group, and its meaningfulness is illustrated by Theorems $A$, $B$, $C$.
Keywords: finite group, subgroup of group, exponent 
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     author = {V. N. Shokuev},
     title = {On one generalization of the concept of a group exponent},
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V. N. Shokuev. On one generalization of the concept of a group exponent. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2003), pp. 28-31. http://geodesic.mathdoc.fr/item/IZKAB_2003_2_a2/