Hall operators on the set of formations of finite groups

• Datum: 2018
• Hauptverfasser: Mekhovich, Andrei P., Vorob’ev, Nikolay N., Vorob’ev, Nikolay T.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Hall \(\pi\)-subgroup; \(\pi\)-soluble group; formation of finite groups; saturated formation; canonical satellite; \(\frak{F}\)-projector; 20D10
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/622
• Назва журналу: Algebra and Discrete Mathematics

Let \(\pi\) be a nonempty set of primes and let  \(\frak{F}\)  be a saturated formation of all finite soluble \(\pi\)-groups. It is constructed the saturated formation consisting of all finite \(\pi\)-soluble groups whose \(\frak{F}\)-projectors contain a Hall \(\pi\)-subgroup.