On the maximal size of independent generating sets of \(\text{PSL}_2(q)\)
type: Item
instance of: scholarly article
title: On the maximal size of independent generating sets of \(\text{PSL}_2(q)\)
zbMATH Open document ID: 1023.20014
DOI: 10.1016/S0021-8693(02)00648-8
author: Julius Whiston
author: Jan Saxl
published in: Journal of Algebra
publication date: 2003-02-12T00:00:00Z
review text: An independent set in a group \(G\) is a set of elements such that no element in the set may be generated by the remaining elements. Let \(\mu(G)\) be the size of an independent generating set for \(G\) of maximal size. Theorem. If \(G=L_2(q)\) with \(q=p^r\), then \(\mu(G)\leq\max\{6,\pi+2\}\) where \(\pi=\pi(r)\) is the number of distinct prime divisors of \(r\).
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 20D06
zbMATH DE Number: 1868107
zbMATH Keywords: projective special linear groups
zbMATH Keywords: independent generating sets
reviewed by: Alexandre A. Makhnev
MaRDI profile type: Publication
cites work: Independent generating sets and geometries for symmetric groups
cites work: Q3684278
cites work: Q3926778
cites work: Maximal independent generating sets of the symmetric group
description: scientific article; zbMATH DE number 1868107