CONCERNING EQUALLY COVERED GROUPS

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

doi:10.24330/ieja.1567377

CONCERNING EQUALLY COVERED GROUPS

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

International electronic journal of algebra, Vol.37(37), pp.352-365

01/14/2025

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

Group theory

Finite groups

Finite simple groups

Combinatorial group theory

Algebra, Abstract

Mathematics

Physical Sciences

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 th Cartesian power of G has an equal covering for some n. Some related topics are also discussed.

(1)

url

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

Published (Version of record)

: CONCERNING EQUALLY COVERED GROUPS
: T. Foguel - Adelphi University
A. R. Moghaddamfar - K.N.Toosi University of Technology
J. Schmidt - University of Kentucky
A. Velasquez-Berroteran - Binghamton University
: International electronic journal of algebra, Vol.37(37), pp.352-365
: Ieja-Int Electronic Journal Algebra
: 14
: Mathematics and Computer Science; College of Arts and Sciences; Adelphi University; Office of the Provost; Adelphi's Celebration of Scholarly Research & Creative Works; Adelphi's Celebration of Scholarly Research & Creative Works 2026
: English
: Journal article
: Adelphi's Celebration of Scholarly Research & Creative Works 2026
: https://doi.org/10.24330/ieja.1567377
: 991004547559506266