Products of matrices over a finite field
type: Item
instance of: scholarly article
title: Products of matrices over a finite field
zbMATH Open document ID: 0628.15012
author: Amos Kovacs
published in: Illinois Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let C be an invariant class of \(n\times n\) matrices over a finite field. A method is described to calculate the probability that a product of \(\ell\) matrices chosen at random will belong to C. The method is then applied to several classes C: matrices of given trace or determinant, matrices with given characteristic polynomial, diagonalizable matrices.
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 05A15
zbMATH DE Number: 4021356
zbMATH Keywords: products of matrices over a finite field
zbMATH Keywords: invariant class
zbMATH Keywords: trace
zbMATH Keywords: determinant
zbMATH Keywords: characteristic polynomial
zbMATH Keywords: diagonalizable matrices
zbMATH Keywords: combinatorial enumeration
zbMATH Keywords: probability
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4021356