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arXiv · 2012.07018

Maximal intersections in finite groups

Andrea Lucchini
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Abstract

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

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Andrea Lucchini. 2020-12-13. Maximal intersections in finite groups. https://arxiv.org/abs/2012.07018

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