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Solvable groups with four conjugacy classes outside a normal subgroup - MaRDI portal

Solvable groups with four conjugacy classes outside a normal subgroup (Q6111566)

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scientific article; zbMATH DE number 7722464
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Solvable groups with four conjugacy classes outside a normal subgroup
scientific article; zbMATH DE number 7722464

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    Solvable groups with four conjugacy classes outside a normal subgroup (English)
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    4 August 2023
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    Continuing a small body of research that aims to classify finite groups according to the number of conjugacy classes, this paper classifies finite groups \(G\) having a normal subgroup \(N\) such that \(G/N\) is nonabelian and \(G \setminus N\) is the union of \(4\) conjugacy classes.
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    conjugacy class
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    Frobenius group
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    solvable group
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