Critical groups and partitions of finite groups
Group Theory
2024-12-23 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.2412.12345,
title = {Critical groups and partitions of finite groups},
author = {Daniela Bubboloni and Nicolas Pinzauti},
journal= {arXiv preprint arXiv:2412.12345},
year = {2024}
}