%0 Journal Article
%T Infinite groups with many generalized normal subgroups
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A de Giovanni, Francesco
%A Rainone, Caterina
%D 2012
%\ 09/01/2012
%V 1
%N 3
%P 39-49
%! Infinite groups with many generalized normal subgroups
%K Almost normality
%K nearly normality
%K normalizer subgroup
%R 10.22108/ijgt.2012.1223
%X 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.
%U https://ijgt.ui.ac.ir/article_1223_150426f6f6fcaf626f8a811ef1dd2718.pdf