On control of the prime spectrum of a finite simple group.
type: Item
instance of: scholarly article
title: On control of the prime spectrum of a finite simple group.
zbMATH Open document ID: 1320.20017
DOI: 10.1134/S0081543814050046
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2014-11-13T00:00:00Z
review text: Let \(G\) be a finite nonabelian simple group and \(\pi(G)\) the set of all prime divisors of \(|G|\). In this paper, the author proves that \(G\) has sections \(H_1,\ldots,H_m\) of special form such that \(\pi(H_1)\cup\cdots\cup\pi(H_m)=\pi(G)\) and \(m\leq 5\). Moreover, \(m\leq 2\) if \(G\) is an alternating or classical simple group.
reviewed by: Shi Wujie
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20D20
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 6369304
zbMATH Keywords: finite simple groups
zbMATH Keywords: prime spectra
zbMATH Keywords: maximal subgroups
zbMATH Keywords: sections
MaRDI profile type: Publication
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author: V. A. Belonogov
description: scientific article; zbMATH DE number 6369304