对Z.扬科
A refinement on a theorem of Z. Janko
摘要:
如果对于每个$x\in G$,我们有$x\in H$或$\langle x\rangle \cap H={1}$,我们说一个子群$H$在一个群$G$中是孤立的。Z. Janko在他的论文[J. Algebra,465(2016),41- 61]中确定了某些类的有限非交换$p$ -群,这些群具有一些孤立的子群。本文改进了他的一个定理。
英文摘要:
We say that a subgroup $H$ is isolated in a group $G$ if for each $x\in G$ we have either $x\in H$ or $\langle x\rangle \cap H={1}$. Z. Janko, in his paper [J. Algebra, 465(2016), 41--61], determined certain classes of finite nonabelian $p$-groups which possess some isolated subgroups. In this note, a theorem of his paper is refined.
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。