Concerning equally covered groups

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.

Authors

Institutions

Publication Details

Journal
International Electronic Journal of Algebra
Published
2024-10-14
DOI
https://doi.org/10.24330/ieja.1567377
Citations
1
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
1.32
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Concerning equally covered groups

Tuval Foguel, Jack Schmidt, A. R. Moghaddamfar, A. Velasquez-berroteran
1 citations
International Electronic Journal of Algebra
Finite Group Theory Research
1.32
article

Concerning equally covered groups

Tuval Foguel, Jack Schmidt, A. R. Moghaddamfar, A. Velasquez-berroteran
article en
1 citations

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.

International Electronic Journal of AlgebraVol. 37(37)
Binghamton University (US), University of Kentucky (US), Adelphi University (US), K. N. Toosi University of Technology (IR)
Reduced inequalities
Openalex Percentile: Top 21%
Finite Group Theory Research
1.32
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.