具有对角型最小覆盖数2的群
Groups having minimal covering number 2 of diagonal type
AI总结：
本文对具有正规2-覆盖且任何真商群均无此覆盖的有限对角型群进行了完整分类，推进了Garonzi和Lucchini关于正规2-覆盖有限群的分类工作。
摘要：
Garonzi和Lucchini[GL]研究了具有正规2-覆盖的有限群G，其中G的任何真商群都不具有这样的覆盖。他们的研究提供了这些群的全面概览，指出这类群分为不同的类别：几乎单群、仿射型、乘积作用型或对角型。在本文中，我们关注属于对角型的这一族群。具体而言，我们给出了具有正规2-覆盖的有限对角群的完整分类，且满足G的任何真商群都不具有这样的覆盖。
英文摘要：
Garonzi and Lucchini~\cite{GL} explored finite groups $G$ possessing a normal $2$-covering, where no proper quotient of $G$ exhibits such a covering. Their investigation offered a comprehensive overview of these groups, delineating that such groups fall into distinct categories: almost simple, affine, product action, or diagonal. In this paper, we focus on the family falling under the diagonal type. Specifically, we present a thorough classification of finite diagonal groups possessing a normal $2$-covering, with the attribute that no proper quotient of $G$ has such a covering.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
