English

Maximal intersections in finite groups

Group Theory 2020-12-15 v1

Abstract

For a finite group GG, we investigate the behaviour of four invariants, MaxDim(G),\text{MaxDim}(G), MinDim(G),\text{MinDim}(G), MaxInt(G)\text{MaxInt}(G) and MinInt(G),\text{MinInt}(G), measuring in some way the width and the height of the lattice M(G)\mathcal M(G) consisting of the intersections of the maximal subgroups of G.G.

Keywords

Cite

@article{arxiv.2012.07018,
  title  = {Maximal intersections in finite groups},
  author = {Andrea Lucchini},
  journal= {arXiv preprint arXiv:2012.07018},
  year   = {2020}
}