Let $(G,M)$ be a pair of groups, in which $M$ is a normal subgroup of a group $G.$ We study some properties of $n$-isoclinism of pair of groups. In fact, we show that the subgroups and quotient groups of two $n$-isoclinism pair of groups are $m$-isoclinic for all $m\le n.$ Moreover, the properties of $\pi$-pair and supersolvable pair of groups which are invariant under $n$-isoclinism has be studied.
Sajedi, M., & Darabi, H. (2023). Some properties of pair of n-isoclinism induction. Journal of Algebra and Related Topics, 11(1), 15-26. doi: 10.22124/jart.2022.20858.1330
MLA
M. Sajedi; H. Darabi. "Some properties of pair of n-isoclinism induction". Journal of Algebra and Related Topics, 11, 1, 2023, 15-26. doi: 10.22124/jart.2022.20858.1330
HARVARD
Sajedi, M., Darabi, H. (2023). 'Some properties of pair of n-isoclinism induction', Journal of Algebra and Related Topics, 11(1), pp. 15-26. doi: 10.22124/jart.2022.20858.1330
VANCOUVER
Sajedi, M., Darabi, H. Some properties of pair of n-isoclinism induction. Journal of Algebra and Related Topics, 2023; 11(1): 15-26. doi: 10.22124/jart.2022.20858.1330