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reference:Rosen

i think two more abelian groups are possible .

1 and 3 are given ,2 and 4 also exist .if i m wrong let me know ,thank you.

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Isomorphism : A group homomorphism that is bijective. 

We proved that all 3 groups are homomorphic as well as isomorphic.

 

Note:  I rearranged the elements of table to show the similarities between all 3 tables.

 

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