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arXiv · 2111.14015

Finite groups with many isolated subgroups

Marius Tărnăuceanu
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Abstract

Given a finite group $G$, we denote by $L(G)$ the subgroup lattice of $G$ and by ${\rm Isolated}(G)$ the set of isolated subgroups of $G$. In this note, we describe finite groups $G$ such that $|{\rm Isolated}(G)|=|L(G)|-k$, where $k=0,1,2$.

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Marius Tărnăuceanu. 2021-11-28. Finite groups with many isolated subgroups. https://arxiv.org/abs/2111.14015

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