On Normal Graph of a Finite Group

نویسندگانفاطمه کوره پزان مفتخر,سید علیرضا اشرفی قمرودی
همایش7th European Congress of Mathematics
تاریخ برگزاری همایش۲۰۱۶-۷-۱۸
محل برگزاری همایشبرلین
سطح همایشبین المللی

چکیده مقاله

Suppose G is a finite group and C(G) denotes the set of all conjugacy classes of G. The normal graph of G, N(G), is a finite simple graph such that V(N(G)) = C(G) and two conjugacy classes A and B are adjacent if and only if there is a normal subgroup N of G such that AB ≤ N. In this poster, the normal graph of certain finite groups together with their automorphism groups are studied. Some open questions are also presented.