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Recognition of the Group G_2(5) By the Prime Graph
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نویسنده
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Nosratpour P ,Darafsheh R M
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منبع
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Journal Of Linear And Topological Algebra - 2012 - دوره : 1 - شماره : 2 - صفحه:105 -109
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چکیده
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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 anedge if g has an element of order pq. in this paper we prove that if (g) = (g2(5)), then ghas a normal subgroup n such that (n) f2; 3; 5g and g=n=g2(5).
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کلیدواژه
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Prime Graph ,Recognition ,Linear Group
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آدرس
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Department Of Mathematics, Ilam Branch, Islamic Azad University, Ilam, Iran, ایران, University Of Tehran, ایران
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Authors
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