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Some properties of pair of n-isoclinism induction | ||
Journal of Algebra and Related Topics | ||
دوره 11، شماره 1، شهریور 2023، صفحه 15-26 اصل مقاله (315.63 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22124/jart.2022.20858.1330 | ||
نویسندگان | ||
M. Sajedi1؛ H. Darabi* 2 | ||
1Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran | ||
2Department of Mathematics, Esfarayen University of Technology, Esfarayen, Iran | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Pair of groups؛ $n-$isoclinism؛ Supersolvable pair؛ $\pi-$seperable | ||
آمار تعداد مشاهده مقاله: 194 تعداد دریافت فایل اصل مقاله: 231 |