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.
Critical groups and partitions of finite groups / Daniela Bubboloni; Nicolas Pinzauti. - In: MEDITERRANEAN JOURNAL OF MATHEMATICS. - ISSN 1660-5446. - STAMPA. - 22:131:(2025), pp. 1-18. [10.1007/s00009-025-02865-8]
Critical groups and partitions of finite groups
Daniela Bubboloni
;Nicolas Pinzauti
2025
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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