This article is cited in 1 scientific paper (total in 1 paper)
Groups with many pronormal and transitively normal subgroups
L. A. Kurdachenkoa, N. N. Semko (Jr.)b, I. Ya. Subbotinc
a Department of Algebra, National University of Dnepropetrovsk, Vul. Naukova 13, Dnepropetrovsk 50, Ukraine 49050
b Department of Mathematics, National University of The State Tax Service of Ukraine, Irpen, Ukraine
c Department of Mathematics and Natural Sciences, National University, 5245 Pacific Concourse Drive, LA, CA 90045, USA
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.
soluble group, radical group, locally nilpotent group, transitively normal subgroup, non finitely generated subgroup.
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MSC: 20E15, 20F19
L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subbotin, “Groups with many pronormal and transitively normal subgroups”, Algebra Discrete Math., 14:1 (2012), 84–106
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\by L.~A.~Kurdachenko, N.~N.~Semko (Jr.), I.~Ya.~Subbotin
\paper Groups with many pronormal and transitively normal subgroups
\jour Algebra Discrete Math.
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N. N. Semko (Jr.), “Groups with many pronormal and transitively normal subgroups”, Algebra Discrete Math., 15:2 (2013), 269–286
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