Finite groups with \mathfrakF-subnormal normalizers of Sylow subgroups

2019/04/15 by А. Ф. Васильев, Vasil'ev, A. F., Т. И. Васильева +3
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.1904.06986

openalex publication_date 2019/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let π be a set of primes and \mathfrakF be a formation. In this article a properties of the class \rm w^*_π\mathfrakF of all groups G, such that π(G)⊆ π(\mathfrakF) and the normalizers of all Sylow p-subgroups of G are \mathfrakF-subnormal in G for every p∈π∩π(G) are investigated. It is established that \rm w^*_π\mathfrakF is a formation. Some hereditary saturated formations \mathfrakF for which \rm w^*_π\mathfrakF=\mathfrakF are founded.

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