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Journal of the Nigerian Association of Mathematical Physics

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On Non-Commutative Rhotrix Groups over Finite Fields

A Mohammed, UE Okon

Abstract


This paper considers the pair (FGRn(Zp),o) 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; 'o' , in order to introduce concrete constructions of noncommutative rhotrix groups over finite fields. Furthermore, we pick specific groups (FGR3(Z2),o), (FGR3(Z3),o) and analyze them, so as to obtain their elements, multiplication tables, orders and subgroups. In the process, a number of theorems were developed.

Keywords: Groups, subgroups, finite rhotrix groups




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