The extended covering number of \(\text{SL}_n\) is \(n+1\).
type: Item
instance of: scholarly article
title: The extended covering number of \(\text{SL}_n\) is \(n+1\).
zbMATH Open document ID: 1104.20047
author: Frieder Knüppel
author: Klaus Nielsen
published in: Linear Algebra and its Applications
publication date: 2006-12-07T00:00:00Z
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 15A23
Mathematics Subject Classification ID: 14L35
zbMATH DE Number: 5078001
zbMATH Keywords: special linear groups
zbMATH Keywords: extended covering numbers
zbMATH Keywords: conjugacy classes
zbMATH Keywords: length theorems
MaRDI profile type: Publication
full work available at URL: j.laa.2006.03.011
OpenAlex ID: W2007952237
cites work: Products of conjugacy classes in groups
cites work: Cycles comme produit de deux permutations de classes données
cites work: A matrix-decomposition theorem for \(\text{GL}_n(K)\)
cites work: Distribution of irreducible polynomials of small degrees over finite fields
cites work: \(GL^{\pm{}}_ n(R)\) is 5-reflectional
cites work: Products of similar matrices
cites work: SL(V) is 4-reflectional
cites work: \(k\)-fold anti-invariant subspaces of a linear mapping.
cites work: On sums and products of Matrix similarity classes I
cites work: Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\)
cites work: The covering number of the group \(\text{PSL}_ n(F)\)
cites work: Similarity overSL(n, F)
cites work: Q4853980
cites work: Products of Conjugacy Classes in the Special Linear Groups
cites work: Antiinvariant subspaces of maximum dimension
cites work: Regular elements of semisimple algebraic groups
cites work: Products of conjugacy classes of two by two matrices
cites work: Similarity of matrices under SL(n,K)
DOI: 10.1016/J.LAA.2006.03.011
description: scientific article; zbMATH DE number 5078001