On the ranks of \(O'N\) and \(Ly\).
type: Item
instance of: scholarly article
title: On the ranks of \(O'N\) and \(Ly\).
zbMATH Open document ID: 1114.20007
author: Faryad Ali
published in: Discrete Applied Mathematics
publication date: 2007-03-02T00:00:00Z
review text: Let \(G\) be a finite group and \(X\) be a conjugacy class of \(G\). The minimum number of elements in \(X\) that generate \(G\) is called the rank of \(X\) in \(G\) and is denoted by \(\text{rank}(X:G)\). In the paper under review the author considers the sporadic simple groups \(O'N\) and \(Ly\), and finds the rank of all conjugacy classes of these groups. Computations carried out in this paper are done using the computer algebra system GAP.
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E45
zbMATH DE Number: 5130478
zbMATH Keywords: sporadic groups
zbMATH Keywords: O'Nan group
zbMATH Keywords: Lyons group
zbMATH Keywords: ranks
zbMATH Keywords: generators
zbMATH Keywords: conjugacy classes
reviewed by: M. R. Darafsheh
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: j.dam.2006.08.001
OpenAlex ID: W2044471650
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DOI: 10.1016/J.DAM.2006.08.001
description: scientific article; zbMATH DE number 5130478