On minimal \(\omega\)-composition non-\(\frak H\)-formations

• Datum: 2018
• Hauptverfasser: Belous, Liudmila I., Selkin, Vadim M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: formation; \(\tau\)-closed \(\omega\)-composition; satellite; 20D20
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/903
• Назва журналу: Algebra and Discrete Mathematics

Let \(\frak{H}\) be some class of groups. A formation \(\frak{F}\) is called a minimal \(\tau\)-closed \(\omega\)-composition non-\(\frak{H}\)-formation [1] if \(\frak{F} \nsubseteq \frak{H}\) but \(\frak{F}_1 \subseteq \frak{H}\) for all proper \(\tau\)-closed \(\omega\)-composition subformations \...