Uchenna Emmanuel Obasi and Remigius Okeke Aja

In this paper, isomorphism of normal closure (N) of a subset H of a group G were investigated using S_n where n=8. The subsets of N were shown to be abelian, cyclic and found to be subgroup of G. Finally normal closure (N) of G were shown to be isomorphic to conjugacy class C_4?C_4 which was confirmed by an existing theorem. Keywords: Isomorphism; Normal Closure of a Group; Finite group; Conjugacy Classes. Mathematics Subject Classification (2010): 05C60, 20B05, 20B35, 20E45, 20K01, 20K27

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