Local definitions of formations of finite groups

2011/03/31 by L. A. Shemetkov, Shemetkov, L. A.
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR

paper · pdf · doi:10.48550/arxiv.1103.6259

17 pages

arxiv created 2011/03/31 · openalex publication_date 2011/03/31 · arxiv updated 2011/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A problem of constructing of local definitions for formations of finite groups is discussed in the article. The author analyzes relations between local definitions of various types. A new proof of existence of an ω-composition satellite of an ω-solubly saturated formation is obtained. It is proved that if a non-empty formation of finite groups is \mathfrak X-local by Förster, then it has an \mathfrak X-composition satellite.

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