Means of the Direct Product of Two Cyclic Groups of Order p
D.G.A. Saleh, A. Hanono
Abstract
D.G.A. Saleh, A. Hanono
Abstract
p p b a A × = ABSTRACT This paper reports the investigation of extensions of the group () ∞ ∞ ∞ ⊕ ⊕ ⊕ = p p p C 0 a pa pa a a C p = = = ∞ by means of the direct product of two cyclic group p p b a A × = of order p , where p is a prime number. It has been concluded from this work that all non isomorphic extensions of the group () n C by means of the group p p b a A × = , that correspond to − p Z irreducible representations of the group p p b a A × = , are:
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p p b a A × = ABSTRACT This paper reports the investigation of extensions of the group () ∞ ∞ ∞ ⊕ ⊕ ⊕ = p p p C 0 a pa pa a a C p = = = ∞ by means of the direct product of two cyclic group p p b a A × = of order p , where p is a prime number. It has been concluded from this work that all non isomorphic extensions of the group () n C by means of the group p p b a A × = , that correspond to − p Z irreducible representations of the group p p b a A × = , are:
Key concepts: Cyclic group, Direct product, Mathematics, Order (exchange), Group (periodic table), Combinatorics, Product (mathematics), Prime (order theory)