Some finite simple groups which are not uniquely determined by their order components.
type: Item
instance of: scholarly article
title: Some finite simple groups which are not uniquely determined by their order components.
zbMATH Open document ID: 1075.20006
author: Seyed Hassan Alavi
author: Ashraf Daneshkhah
published in: Southeast Asian Bulletin of Mathematics
publication date: 2005-03-21T00:00:00Z
review text: Let \(G\) be a finite group and \(OC(G)\) the set of order components of \(G\) [\textit{G.-Y. Chen}, J. Algebra 185, No. 1, 184-193 (1996; Zbl 0861.20018)]. In this paper the authors prove that the projective symplectic groups \(S_{16}(q)\), where \(q\) is an odd prime power, are not uniquely determined by their order components. But \(S_{16}(q)\), where \(q=2^n\), are uniquely determined by their order components.
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20D60
zbMATH DE Number: 2148370
zbMATH Keywords: prime graphs
zbMATH Keywords: order components
zbMATH Keywords: finite simple groups
zbMATH Keywords: projective symplectic groups
reviewed by: Shi Wujie
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2148370