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Irredundant and minimal covers of finite groups
Published 19 Dec 2014 in math.GR | (1412.6275v1)
Abstract: A cover of a finite non-cyclic group $G$ is a family $\mathcal{H}$ of proper subgroups of $G$ whose union equals $G$. A cover of $G$ is called minimal if it has minimal size, and irredundant if it does not properly contain any other cover. We classify the finite non-cyclic groups all of whose irredundant covers are minimal.
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