Suppose p, q are prime numbers. Prove that Sq x Z is not isomorphic to Sp x Z.
Added by Edwin F.
Step 1
This is a well-known result in group theory, and can be proven using the fact that any two groups of the same order and the same composition of cyclic factors are isomorphic. Now, suppose that Sq x Z is isomorphic to Sp x Z. Then, we have: Sq x Z ≅ Sp x Show more…
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