Groups with many pronormal and transitively normal subgroups

L. A. Kurdachenko ; N. N. Semko (Jr.) ; I. Ya. Subbotin

Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 84-106.

Résumé

A subgroup $H$ of a group $G$ is said to be transitively normal in $G$, if $H$ is normal in every subgroup $K⩾H$ such that $H$ is subnormal in $K$. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.

Détail

Keywords: radical group, locally nilpotent group, transitively normal subgroup, non finitely generated subgroup.
Mots-clés : soluble group

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