关于有限群的仿射不变量的一个不等式
On an Inequality of Dimension-like Invariants for Finite Groups
摘要：
本文引入了有限群的几个“维数”概念，涉及到生成集的大小和极大子群的某些构型。我们专注于不等式$m(G) \leq \mathrm{MaxDim}(G)$，给出了一个家庭的例子，不等式是严格的，并表明，平等持有，如果$G$是超可解的。
英文摘要：
In this paper, we introduce several notions of "dimension" of a finite group, involving sizes of generating sets and certain configurations of maximal subgroups. We focus on the inequality $m(G) \leq \mathrm{MaxDim}(G)$, giving a family of examples where the inequality is strict, and showing that equality holds if $G$ is supersolvable.
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。
