One formation of finite groups

TL;DR

This paper proves that two different formations of finite groups, introduced by separate researchers, are actually the same, unifying their concepts in group theory.

Contribution

It demonstrates the equivalence of two distinct formations of finite groups, clarifying their relationship in the field.

Findings

The two formations are proven to coincide.

This unification simplifies the understanding of these group formations.

The result resolves a previously open question about their relationship.

Abstract

It is shown that two formations of finite groups, one was introduced by V.S. Monakhov and V.N. Kniahina and another one was introduced by R. Brandl, are coincides.