MATHEMATICS

On one generalization of the concept of a group exponent

V. N. Shokuev

Kabardino-Balkar State University, Nal'chik

Abstract: 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

UDC: 519.41.46