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 language||English (US)|
|Number of pages||5|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|State||Published - 1979|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)