Year: 2024
Type: article
Abstract: A finite group is equally covered if it has a covering by proper subgroups of equal orders. Among other results, it is shown that finite simple groups have no equal coverings, and for any finite group $G$ the $n^{\text{th}}$ Cartesian power of $G$ has an equal covering for some $n$. Some related topics are also discussed.
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4403387529