论文标题
在有限解决和对称组的主要覆盖物上
On the Primary Coverings of Finite Solvable and Symmetric Groups
论文作者
论文摘要
有限的组$ g $的主要覆盖物是$ g $的适当亚组的家族，其工会包含$ g $的元素集合，并具有命令的命令。我们用$σ_0（g）$表示$ g $的主要覆盖物的最小尺寸，并将其称为$ g $的主要覆盖号码。我们研究了这个数字，并将其与其类似的$σ（g）$（覆盖号）进行比较，用于可解决$ g $的类别$ g $类别。
A primary covering of a finite group $G$ is a family of proper subgroups of $G$ whose union contains the set of elements of $G$ having order a prime power. We denote with $σ_0(G)$ the smallest size of a primary covering of $G$, and call it the primary covering number of $G$. We study this number and compare it with its analogous $σ(G)$, the covering number, for the classes of groups $G$ that are solvable and symmetric.
