Critical groups and partitions of finite groups

2024/12/16 by Bubboloni, Daniela, Pinzauti, Nicolas
#05C25 #06A15 #20D99 #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2412.12345

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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