Infinite groups with many generalized normal subgroups

International Journal of Group Theory

关键词: Almost normality;    nearly normality;    normalizer subgroup;   

DOI  :  

来源: DOAJ

【 摘 要 】

A subgroup $X$ of a group $G$ is almost normal if the index $|G:N_G(X)|$ is finite, while $X$ is nearly normal if it has finite index in the normal closure $X^G$. This paper investigates the structure of groups in which every (infinite) subgroup is either almost normal or nearly normal.

【 授权许可】

Unknown