Concerning equally covered groups

Year 2025, Volume: 37 Issue: 37, 352 - 365, 14.01.2025

T. Foguel A. R. Moghaddamfar J. Schmidt A. Velasquez - Berroteran

https://doi.org/10.24330/ieja.1567377

Cited By: 1

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.

Keywords

Equally covered group, Cartesian powers of a group, simple group

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