A Note on Finite Groups Whose Power Graph is a Commuting Graph
عنوان مقاله: A Note on Finite Groups Whose Power Graph is a Commuting Graph
شناسه ملی مقاله: JR_JCAS-2-1_002
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_JCAS-2-1_002
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Alireza Doostabadi - Faculty of Sciences, University of Zabol, Zabol, Iran
خلاصه مقاله:
Alireza Doostabadi - Faculty of Sciences, University of Zabol, Zabol, Iran
Let G be a finite group. The power graph of the group G, denoted by P(G), is a graph such that its vertex set is the group G and two distinct elements x,y are adjacent if and only if x = yn or y = xn for some positive integer n. The purpose of this paper is to study finite groups such that their commuting graph is a power graph.
کلمات کلیدی: Power graph, Commutative elements, Commuting graph, PC-groups
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1891386/