Semko, N. N. jun. Groups with many pronormal and transitively normal subgroups. (English) Zbl 1323.20026 Algebra Discrete Math. 15, No. 2, 269-286 (2013). Summary: A subgroup \(H\) of a group \(G\) is said to be transitively normal in \(G\), if \(H\) is normal in every subgroup \(K\geq H\) such that \(H\) is subnormal in \(K\). The study of radical groups, whose not finitely generated subgroups are transitively normal, has been started by L. A. Kurdachenko, N. N. Semko and I. Ya. Subbotin [Algebra Discrete Math. 14, No. 1, 84-106 (2012; Zbl 1294.20036)]. In this paper the study of such groups is continued. MSC: 20E15 Chains and lattices of subgroups, subnormal subgroups 20F19 Generalizations of solvable and nilpotent groups 20E07 Subgroup theorems; subgroup growth Keywords:pronormal subgroups; locally nilpotent groups; transitively normal subgroups; radical groups; non-finitely generated subgroups; transitive normality Citations:Zbl 1294.20036 PDFBibTeX XMLCite \textit{N. N. Semko jun.}, Algebra Discrete Math. 15, No. 2, 269--286 (2013; Zbl 1323.20026)