On a question of A. N. Skiba about totally saturated formations

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Author: Safonov, V.G.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153366
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On a question of A. N. Skiba about totally saturated formations / V.G. Safonov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 88–97. — Бібліогр.: 14 назв. — англ.

It is proved that the lattice of τ-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997).