English

Finite Groups With Two Irredundant Covers

Group Theory 2022-06-22 v1

Abstract

An irredundant cover of a finite group GG is a collection of proper subgroups whose union is GG and which contains no smaller subcover. We classify finite groups which possess exactly two irredundant covers, thereby initiating an answer to a question of Brodie, who classified finite groups with one irredundant cover.

Keywords

Cite

@article{arxiv.2206.10506,
  title  = {Finite Groups With Two Irredundant Covers},
  author = {Jonathan Cohen and Kyle Rosengartner},
  journal= {arXiv preprint arXiv:2206.10506},
  year   = {2022}
}

Comments

10 pages

R2 v1 2026-06-24T11:58:46.301Z