论文标题

在适当正常化的组的最小覆盖范围内

On minimal coverings of groups by proper normalizers

论文作者

Amiri, M., Haji, S., Amiri, S. M. Jafarian

论文摘要

对于$ g $的组,$ g $的{\ it justranizer覆盖}是一组有限的$ g $子组的适当正常化的,其联合为$ g $。我们研究$ p $ - 组($ p $ a Prime),而没有标准化器覆盖。作为应用程序,我们确定一些具有nilpotent归一化器覆盖率的非运动组。

For a group $G$, a {\it normalizer covering} of $G$ is a finite set of proper normalizers of some subgroups of $G$ whose union is $G$. We study $p$-groups ($p$ a prime) without a normalizer covering. As an application, we determine some non-nilpotent groups having a nilpotent normalizer covering.

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