Hall operators on the set of formations of finite groups

• Published in: Algebra and Discrete Mathematics
• Date: 2010
• ISSN: 1726-3255
• Main Authors: Mekhovich, A.P., Vorob’ev, N.N., Vorob’ev, N.T.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154492
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hall operators on the set of formations of finite groups / A.P. Mekhovich, N.N. Vorob’ev, N.T. Vorob’ev // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 72–78. — Бібліогр.: 19 назв. — англ.

Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall π-subgroup.