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

• Datum: 2016
• Hauptverfasser: Kurdachenko, Leonid A., Pypka, Aleksandr A., Semko, Nikolaj N.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2016
• Schlagworte: locally finite group; self-normalizing subgroup; ascendant subgroup; subnormal subgroup; Gruenberg radical; Baer radical; 20E15; 20F19; 20F22; 20F50
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/63
• Назва журналу: Algebra and Discrete Mathematics

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.