Groups, in which almost all subgroups are near to normal

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• Main Authors: Semko, M.M., Kuchmenko, S.M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156421
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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 t...