Groups, in which almost all subgroups are near to normal

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2004
• Hauptverfasser: Semko, M.M., Kuchmenko, S.M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2004
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/156421
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Groups, in which almost all subgroups are near to normal / M.M. Semko, S.M. Kuchmenko // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 2. — С. 92–113. — Бібліогр.: 20 назв. — англ.

A subgroup H of a group G is said to be nearly normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper is studied the groups whose non polycyclic by finite subgroups are nearly normal. It is not hard to show that under some n...