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<p>We complete the classification of the finite non-solvable groups of order divisible by 3 all of whose maximal subgroups of order divisible by 3 are supersolvable, by showing that in the description of such groups in a recent paper of A. Beltrán and C. Shao, only the simple groups can occur.</p>

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On a Recent Result of Beltrán and Shao

  • 期刊论文

  • 发表日期：

    2026年3月21日

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  • Tom Wilde

摘要

We complete the classification of the finite non-solvable groups of order divisible by 3 all of whose maximal subgroups of order divisible by 3 are supersolvable, by showing that in the description of such groups in a recent paper of A. Beltrán and C. Shao, only the simple groups can occur.