On Subgroups of Non-Commutative General Rhotrix Group
This paper considers the pair (GRn(F),o) consisting of the set of all invertible rhotrices of size n over an arbitrary field F; and together with the binary operation of row-column based method for rhotrix multiplication; 'o' , in order to introduce it as the concept of “non commutative general rhotrix group”. We identify a number of subgroups of (GRn(F),o) and then advance to show that its particular subgroup is embedded in a particular subgroup of the well-known general linear group (GRn(F),o). Furthermore, we shall investigate isomorphic relationship between some subgroups of (GRn(F),o) .
Keywords: Rhotrix, matrix, group, rhotrix groups, matrix groups, general rhotrix group, general linear group