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arXiv · 2103.10598

Finite groups which have maximal covers

Lifang Wang·Lijian An
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Abstract

Let $\lambda(G)$ be the maximum number of subgroups in an irredundant covering of a finite group $G$. We prove that the finite groups with $\lambda(G)=|G|-t$, where $t\leq 5$, are solvable, and classify such groups.

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Lifang Wang, Lijian An. 2021-03-19. Finite groups which have maximal covers. https://arxiv.org/abs/2103.10598

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