p元素与正规补的共轭类

H. Tong-Viet
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引用次数: 2

摘要

本文研究了一类素数$p$具有大量$p$-元素共轭类的有限群的结构。作为结果,我们得到了有限群中正规$p$-补存在的一些新判据。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Conjugacy classes of p-elements and normal p-complements
In this paper, we study the structure of finite groups with a large number of conjugacy classes of $p$-elements for some prime $p$. As consequences, we obtain some new criteria for the existence of normal $p$-complements in finite groups.
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