On finite ca-\mathfrak F groups and their applications

2016/03/13 by E. N. Myslovets, Evgeniy N. Myslovets, Myslovets, Evgeniy N. +3
Computer Science · Mathematics · #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1603.04018

arxiv created 2016/03/13 · openalex publication_date 2016/03/13 · arxiv updated 2016/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathfrak F be a class of groups. A group G is called ca-\mathfrak F-group if its every non-abelian chief factor is simple and H/K \leftthreetimes C_G(H/K) ∈ \mathfrak F for every abelian chief factor H/K of G. In this paper, we investigate the structure of a finite ca-\mathfrak F-group. Properties of mutually permutable products of finite ca-\mathfrak F-groups are studied.

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