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- W4294091713 abstract "Given a finite non-cyclic group $G$, call $sigma(G)$ the smallest number of proper subgroups of $G$ needed to cover $G$. Lucchini and Detomi conjectured that if a nonabelian group $G$ is such that $sigma(G) < sigma(G/N)$ for every non-trivial normal subgroup $N$ of $G$ then $G$ is textit{monolithic}, meaning that it admits a unique minimal normal subgroup. In this paper we show how this conjecture can be attacked by the direct study of monolithic groups." @default.
- W4294091713 created "2022-09-01" @default.
- W4294091713 creator A5029520557 @default.
- W4294091713 date "2013-01-04" @default.
- W4294091713 modified "2023-09-30" @default.
- W4294091713 title "Covering monolithic groups with proper subgroups" @default.
- W4294091713 doi "https://doi.org/10.48550/arxiv.1301.0743" @default.
- W4294091713 hasPublicationYear "2013" @default.
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