Arithmetical conditions on the conjugacy vector of a finite group |
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Authors: | Antonio Vera López |
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Affiliation: | (1) Departmento de Matemáticas, Facultad de Ciencias, Universidad del Pais Vasco, Apartado, 644 Bilbao, Spain |
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Abstract: | We get new properties of the numbersr G(xN) = |{Cl G (g)|Cl G (g)∩xN ≠ Ø} (whereG is a finite group andN is a normal subgroup ofG) that are useful in the analysis of the classification of the finite groups according to the number of conjugacy classes. |
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