How to prove that $Z/2\times Z/2$ and $ Z/4$ are not isomorphic?
I think that $Z/2\times Z/2$ is not cyclic. Hence $Z/2\times Z/2$ and $ Z/4$ are not isomorphic. Thank you.
How to prove that $Z/2\times Z/2$ and $ Z/4$ are not isomorphic?
I think that $Z/2\times Z/2$ is not cyclic. Hence $Z/2\times Z/2$ and $ Z/4$ are not isomorphic. Thank you.
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Hint:
Does $Z/2\times Z/2$ has an element of order $4$ ?