Geodesic
Groups with many pronormal and transitively normal subgroups
Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 84-106

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A subgroup $H$ of a group $G$ is said to be transitively normal in $G$, if $H$ is normal in every subgroup $K\geqslant H$ such that $H$ is subnormal in $K$. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
Keywords: radical group, locally nilpotent group, transitively normal subgroup, non finitely generated subgroup.
Mots-clés : soluble group 
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     title = {Groups with many pronormal and transitively normal subgroups},
     journal = {Algebra and discrete mathematics},
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     number = {1},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a7/}
}
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L. A. Kurdachenko; N. N. Semko (Jr.); I. Ya. Subbotin. Groups with many pronormal and transitively normal subgroups. Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 84-106. http://geodesic.mathdoc.fr/item/ADM_2012_14_1_a7/