Equivalence Classes of Matrices Over a Finite Field

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Abstract

Let Fq = GF(q) denote the finite field of order q and F(m,q) the ring of mxm matrices over Fq.. Let Ω be a group of permutations of Fq. If A, B ε F(m,q) then A is equivalent to B relative to Ω if there exists φεΩ such that φ(Α) = B where φ(Α) is computed by substitution. Formulas are given for the number of equivalence classes of a given order and for the total number of classes induced by a cyclic group of permutations.

Original languageEnglish (US)
Pages (from-to)487-491
Number of pages5
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume2
Issue number3
DOIs
StatePublished - Jan 1 1979

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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