Critical groups and partitions of finite groups

Daniela Bubboloni; Nicolas Pinzauti

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arXiv · 2412.12345

Critical groups and partitions of finite groups

Daniela Bubboloni·Nicolas Pinzauti

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Abstract

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.

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Daniela Bubboloni, Nicolas Pinzauti. 2024-12-16. Critical groups and partitions of finite groups. https://arxiv.org/abs/2412.12345

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