Groups with many pronormal and transitively normal subgroups

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

Abstract


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


soluble group, radical group, locally nilpotent group,transitively normal subgroup, non finitely generated subgroup

Full Text:

PDF

Refbacks

  • There are currently no refbacks.