On the matrix equation X n = B over finite fields

Maria T. Acosta- De-Orozco and Javier Gomez-Calderon

International Journal of Mathematics and Mathematical Sciences, 1993, vol. 16, 1-6

Abstract:

Let G F ( q ) denote the finite field of order q = p e with p odd and prime. Let M denote the ring of m × m matrices with entries in G F ( q ) . In this paper, we consider the problem of determining the number N = N ( n , m , B ) of the n -th roots in M of a given matrix B ∈ M .

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:746794

DOI: 10.1155/S0161171293000663

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