论文标题

有两个不余生的有限群体

Finite Groups With Two Irredundant Covers

论文作者

Cohen, Jonathan, Rosengartner, Kyle

论文摘要

有限的组$ g $的不冗余封面是一组适当的子群,其联合为$ g $,并且不包含较小的子覆盖物。我们对有限的群体进行了分类,这些群体恰好具有两个不冗余的封面,从而对布罗迪的一个问题发起了答案,布罗迪将有限的群体分类为一个不redrectuctionlaction的封面。

An irredundant cover of a finite group $G$ is a collection of proper subgroups whose union is $G$ and which contains no smaller subcover. We classify finite groups which possess exactly two irredundant covers, thereby initiating an answer to a question of Brodie, who classified finite groups with one irredundant cover.

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