AbstractLet A? uI; u is a positive integer, is a square matrix of order n; n= 2 or 3 over a finite field fq ; q is prime. The set G =A | ;|A|? 0 forms the group under matrix multiplication. Let 0 (N (A) denote the order of N (A), where N (A), is the normalizer of A in G. Here in this paper we find all matrices which commute with under matrix multiplication. we also discuss determination of N (A) in G over fq and computation of 0 (N (A) in G over Fq.
Anu Kathuria (Wed,) studied this question.
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