Finitely solvable groups with nilpotent wide subgroups

• Date: 2016
• Main Authors: Monakhov, V. S., Sokhor, I. L., Монахов, В. С., Сохор, И. Л.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1893
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

A subgroup $H$ of a finite group $G$ is called wide if each prime divisor of the order of $G$ divides the order of $H$. We obtain a description of finite solvable groups without wide subgroups. It is shown that a finite solvable group with nilpotent wide subgroups contains a quotient group with resp...