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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
مشخصات نویسندگان مقاله:

Alireza Doostabadi - Faculty of Sciences, University of Zabol, Zabol, Iran

خلاصه مقاله:
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/