Good contributors to the order of the finite simple groups
type: Item
instance of: scholarly article
title: Good contributors to the order of the finite simple groups
zbMATH Open document ID: 0547.20011
DOI: 10.1007/BF01235769
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: Let G be a nonabelian simple group of order \(| G| =p_ 1^{n_ 1}\cdot p_ 2^{n_ 2}\cdot...\cdot p_ s^{n_ s}\) with \(p_ 1^{n_ 1}>p_ 2^{n_ 2}>..>p_ s^{n_ s}\) and \(p_ 1,p_ 2,...,p_ s\) distinct primes. We call \(p_ i\) a good contributor to \(| G|\) if \((p_ i^{n_ i})^{\log 3/\log 2}\geq p_ 1^{n_ 1}.\) We obtain an explicit description of the good contributors of all finite simple groups with the exception of the groups \(PSL_ 2(q)\), \(PSU_ 3(q)\), \(PSL_ 3(q)\).
Mathematics Subject Classification ID: 20D05
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 3871622
zbMATH Keywords: good contributors
zbMATH Keywords: finite simple groups
author: Francis Buekenhout
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3871622