A note of equivalence classes of matrices over a finite field

Let Fqm×m denote the algebra of m×m matrices over the finite field Fq of q elements, and let Ω denote a group of permutations of Fq. It is well known that each ϕϵΩ can be represented uniquely by a polynomial ϕ(x)ϵFq[x] of degree less than q; thus, the group Ω naturally determines a relation ∼ on Fqm...

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Bibliographic Details
Main Authors: J. V. Brawley, Gary L. Mullen
Format: Article
Language:English
Published: Hindawi Limited 1981-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171281000161