The groups whose cyclic subgroups are either ascendant or almost self-normalizing

• Published in: Algebra and Discrete Mathematics
• Date: 2016
• Main Authors: Kurdachenko, L.A., Pypka, A.A., Semko, N.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155208
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The groups whose cyclic subgroups are either ascendant or almost self-normalizing / L.A. Kurdachenko, A.A. Pypka, N.N. Semko // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 111-127. — Бібліогр.: 21 назв. — англ.

The main result of this paper shows a description of locally finite groups, whose cyclic subgroups are either almost self-normalizing or ascendant. Also, we obtained some natural corollaries of the above situation.