On the critical Ω-foliated formations of finite groups

Abstract

Let be a class of finite groups. An Ω-foliated formation of finite groups with direction φ is called a minimal Ω-foliated non--formation φ, or a Ωφ-critical formation if ⊈ , but all proper Ω-foliated subformations with direction φ in are contained in the class . In this paper we give a complete description of the structure of minimal Ω-foliated non--formations with br-direction φ satisfying the condition φ ≤ φ3.