MODULARITY IN FINITE GROUPS: CHARACTERIZING GROUPS WITH MODULAR 𝜎-SUBNORMAL SUBGROUPS

Abstract

This research investigates finite groups in the context of partitions of prime numbers, denoted as 휎. Specifically, we explore the characteristics of groups where every 휎-subnormal subgroup is modular. The study aims to provide a comprehensive understanding of the structural properties that contribute to modularity within finite groups, shedding light on a significant aspect of group theory.