On the maximal size of independent generating sets of \(\text{PSL}_2(q)\) (Q1858297)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the maximal size of independent generating sets of \(\text{PSL}_2(q)\) |
scientific article; zbMATH DE number 1868107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximal size of independent generating sets of \(\text{PSL}_2(q)\) |
scientific article; zbMATH DE number 1868107 |
Statements
On the maximal size of independent generating sets of \(\text{PSL}_2(q)\) (English)
0 references
12 February 2003
0 references
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 \(r\).
0 references
projective special linear groups
0 references
independent generating sets
0 references
