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Home  >  Volume 30 (2015)

On Non-Commutative Rhotrix Groups over Finite Fields by A. Mohammed1and U. E. Okon, pp 65 – 78
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This paper considers the pair  consisting of the set of all invertible rhotrices of size n over a finite field of integers moduloprime p and together with the binary operation of row-column based method for rhotrix multiplication;  , in order to introduce concrete constructions of non-commutative rhotrix groups over finite fields. Furthermore, we pick specific groups , and analyze them, so as to obtain their elements, multiplication tables, orders and subgroups. In the process, a number of theorems were developed.