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Title
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On EPO-groups with a given property on their conjugacy classes
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Type
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JournalPaper
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Keywords
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EPO-group; Frobenius group; conjugacy class graph
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Abstract
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Let G be a finite group and V(G) be the set of all non-central conjugacy classes of G. Consider Γ(G) of G which is defined as follows: its vertex set is the set V(G) and two distinct vertices x^G and y^G are connected with an edge if o(x) and o(y) are not coprime. In this article, we determine the structure of groups G whose non-trivial elements have prime orders and whose graph Γ(G) does not have any complete subgraph with six vertices
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Researchers
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Mehdi Rezaei (Second Researcher), Zeinab Foruzanfar (First Researcher)
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