Author/Authors :
Nosratpour، P نويسنده Department of mathematics, ILam Branch, Islamic Azad university, Ilam, Iran , , Darafsheh، M R نويسنده School of Mathematics, statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran ,
Abstract :
Let G be a finite group. The prime graph of G is a graph (G) with vertex set
(G), the set of all prime divisors of jGj, and two distinct vertices p and q are adjacent by an
edge if G has an element of order pq. In this paper we prove that if (G) = (G2(5)), then G
has a normal subgroup N such that (N) f2; 3; 5g and G=N
=G2(5).
