Common Divisor Character Degree Graphs of Solvable Groups with Four Vertices |
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Authors: | Liguo He |
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Institution: | Department of Mathematics , Shenyang University of Technology , Shenyang , China |
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Abstract: | Let G be a finite solvable group. The common divisor graph Γ(G) attached to G is a character degree graph. Its vertices are the degrees of the nonlinear irreducible complex characters of G, and different vertices m, n are adjacent if the greatest common divisor (m, n) > 1. In this article, we classify all graphs with four vertices that may occur as Γ(G) for solvable group G. |
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Keywords: | Character degree graph Solvable group |
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