Finite groups with generalized Ore supplement conditions for primary subgroups

TL;DR

This paper explores the application of generalized Ore supplement conditions to finite groups, aiming to deepen understanding of their structure and subgroup interactions.

Contribution

It introduces new applications of generalized Ore supplement conditions in analyzing the structure of finite groups.

Findings

Characterization of finite groups with generalized Ore supplement conditions

Identification of subgroup properties influenced by these conditions

Enhanced understanding of primary subgroup interactions

Abstract

We consider some applications of the theory of generalized Ore supplement conditions in the study of finite groups.