2007•Unpublished venueRequires access

Extensions of the group C(n) by means of the cyclic group of order p

Abdollatif Hanano

Abstract

This papers reports the investigation of extensions of the group: ∞ ∞ ∞ ⊕ · · · ⊕ ⊕ = Cp 0 pa pa a a Cp , by means of the cyclic group 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 C(n) by means of the group A ,that correspond to irreducible representations of the group A , are: - p Z β

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Key concepts: Group (periodic table), Cyclic group, Order (exchange), Dicyclic group, Mathematics, Prime (order theory), Combinatorics, Alternating group