On the minimal dimension of a finite simple group

@article{Burness2020OnTM,
  title={On the minimal dimension of a finite simple group},
  author={Timothy C. Burness and Martino Garonzi and A. Lucchini},
  journal={J. Comb. Theory, Ser. A},
  year={2020},
  volume={171}
}
Let $G$ be a finite group and let $\mathcal{M}$ be a set of maximal subgroups of $G$. We say that $\mathcal{M}$ is irredundant if the intersection of the subgroups in $\mathcal{M}$ is not equal to the intersection of any proper subset. The minimal dimension of $G$, denoted ${\rm Mindim}(G)$, is the minimal size of a maximal irredundant set of maximal subgroups of $G$. This invariant was recently introduced by Garonzi and Lucchini and they computed the minimal dimension of the alternating groups… Expand

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