Some remarks on n-isoclinic pairs of groups

Abstract

In 1940, P. Hall introduced the concept of isoclinism of groups. Heidarian et al. studied the concept of $n$-isoclinism of pairs of groups. In this paper, we investigate the concept of $n$-isoclinism between two pairs of groups and give some relations between the notions of $n$-isoclinism of groups and $n$-isoclinism of pairs of groups.