Groups with many pronormal and transitively normal subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2013
• Main Author: Semko (Jr.), N.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152295
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Groups with many pronormal and transitively normal subgroups / N.N. Semko (Jr.) // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 269–286. — Бібліогр.: 26 назв. — англ.

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. The study of radical groups, whose not finitely generated subgroups are transitively normal, has been started by L. A. Kurdachenko, N. N. Semko (Jr.), I. Ya. Subb...