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.
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de Giovanni, F., & Rainone, C. (2012). Infinite groups with many generalized normal subgroups. International Journal of Group Theory, 1(3), 39-49. doi: 10.22108/ijgt.2012.1223
MLA
Francesco de Giovanni; Caterina Rainone. "Infinite groups with many generalized normal subgroups". International Journal of Group Theory, 1, 3, 2012, 39-49. doi: 10.22108/ijgt.2012.1223
HARVARD
de Giovanni, F., Rainone, C. (2012). 'Infinite groups with many generalized normal subgroups', International Journal of Group Theory, 1(3), pp. 39-49. doi: 10.22108/ijgt.2012.1223
VANCOUVER
de Giovanni, F., Rainone, C. Infinite groups with many generalized normal subgroups. International Journal of Group Theory, 2012; 1(3): 39-49. doi: 10.22108/ijgt.2012.1223
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