Groups with many pronormal and transitively normal subgroups

• Published in: Algebra and Discrete Mathematics
• Date: 2012
• Main Authors: Kurdachenko, L.A., Semko (Jr.), N.N., Subbotin, I.Ya.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152231
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 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. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.