Consider two groups, G 1 ​ and  G 2 ​ . Group G 1 ​ is defined as {1,a,a^2 ,a^3 } with operation ⋅ ⋅ such that  a^4 =1, and group G2 ​ is defined as {1,b,b^2 ,b^3 } with operation ∗ such that b^4 =1. Determine whether the two groups  G 1 ​ and  G 2 ​ are isomorphic. If they are, find an isomorphism between them.

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