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Classification of non-solvable groups whose power graph is a cograph - MaRDI portal

Classification of non-solvable groups whose power graph is a cograph (Q6110526)

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scientific article; zbMATH DE number 7707670
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Classification of non-solvable groups whose power graph is a cograph
scientific article; zbMATH DE number 7707670

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    Classification of non-solvable groups whose power graph is a cograph (English)
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    6 July 2023
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    A graph is a cograph if it does not contain the 4-vertex path as an induced subgraph. In this paper, the authors provide a classification of finite groups whose power graph is a cograph (Theorem 1.1 for non-solvable groups and Theorem 1.2 for solvable groups).
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    power graph
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    cograph
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    nilpotent group
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    Gruenberg-Kegel graph
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    simple groups
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