give two examples To show that Z⁴ is not isomorphic to the Klein 4-group
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Step-by-step explanation:
The Klein four group is
Z2×Z2,
where Z2 is the cyclic group of 2 elements. In this group, every element has order at most 2, while in a cyclic group of order 4, two elements have order 4, hence they cannot be isomorphic.
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