On minimal ω-composition non-H-formations

Abstract

Let H be some class of groups. A formation F is called a minimal τ -closed ω-composition non-H-formation [1] if F * H but F1 ⊆ H for all proper τ -closed ω-composition subformations F₁ of F. In this paper we describe the minimal τ -closed ω-composition non-H-formations, where H is a 2-multiply local formation and τ is a subgroup functor such that for any group G all subgroups from τ (G) are subnormal in G.