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<p>We define a class of finite groups based on the properties of the closed twins of their power graphs and study the structure of those groups. As a byproduct, we obtain results about finite groups admitting a partition by cyclic subgroups.</p>

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Critical Groups and Partitions of Finite Groups

  • 期刊论文

  • 发表日期：

    2025年7月12日

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  • Daniela Bubboloni,
  • Nicolas Pinzauti

摘要

We define a class of finite groups based on the properties of the closed twins of their power graphs and study the structure of those groups. As a byproduct, we obtain results about finite groups admitting a partition by cyclic subgroups.