The continuation of finite E_\mathfrakF-groups theory

2020/11/10 by Irina L. Sokhor, Sokhor, Irina
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2011.05291

openalex publication_date 2020/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the structure of finite groups with \mathfrakF-subnormal or self-normalizing primary cyclic subgroups when \mathfrakF is a subgroup-closed saturate superradical formation containing all nilpotent groups. We prove that groups with absolutely \mathfrakF-subnormal or self-normalizing primary cyclic subgroups are soluble when \mathfrakF is a subgroup-closed saturate formation containing all nilpotent groups.

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