Conditions for a Schunck class to be a formation

TL;DR

This paper establishes the precise conditions under which a Schunck class, defined by its primitives, forms a saturated formation, linking structural properties to formation theory.

Contribution

It provides necessary and sufficient conditions on the class of primitives for a Schunck class to be a saturated formation, advancing the understanding of their structural characterization.

Findings

Identifies conditions on primitives for Schunck classes to be saturated formations

Links the structure of primitives to formation properties

Provides a characterization criterion for saturated formations

Abstract

A Schunck class H is determined by the class X of primitives contained in H. We give necessary and sufficient conditions on X for H to be a saturated formation.