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On Transitive and Primitive Dihedral Groups of Degree at most p2

S. Hamma, M.S. Audu

Let p be an odd prime number. In this paper an attempt is made to discuss transitivity and primitivity of all the p-subgroups of dihedral groups of degree at most p2 that have wide range of practical applications especially in engineering, physics and chemistry.The method adopted uses the concepts of p-groups such as Sylow theorems and other Group theoretic concepts including the groups, algorithms and programming (GAP) to obtain our results.