1. On complemented subgroups of finite groups.
- Creator:
- Miao, Long
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- finite group, $p$-nilpotent group, primary subgroups, and complemented subgroups
- Language:
- English
- Description:
- A subgroup $H$ of a group $G$ is said to be complemented in $G$ if there exists a subgroup $K$ of $G$ such that $G=HK$ and $H\cap K=1$. In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about $p$-nilpotent groups.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public