Identification, Generating and Classification of Morphisms between Finite Groups
Journal of Scientific Research and Reports · pp. 1–10 · Published 24 May 2016
10.9734/JSRR/2016/26346Abstract
Our goal in this paper is to generate functions fi from a finite group G to itself such that each fi’s are morphisms. The concept of the fundamental theorem of finite Abelian group was introduced and we proved the result that if G is any finite Abelian group, then the factor group G/H with H a subgroup of G, is a finite Abelian group. Also, if G = Zr ⊗ Zs ⊗ Zt, then G ≅ Zr ⊗ Zs ⊗ Zt where r,s,t∈Z+. We finally conclude on identifying some homomorphisms and automorphisms on finite groups by listing all the possible maps from the group to itself with the help of GAP.
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