On c-normal and hypercentrally embeded subgroups of finite groups

• Date: 2015
• Main Authors: Su, Ning, Wang, Yanming
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: c-normal; hypercenter; p-supersolvable; p-nilpotent; 20D10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70
• Journal Title: Algebra and Discrete Mathematics

In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor...