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29 Nov 2019
Prove that Q is not isomorphic to Z (both groups underaddition).
Hint: Suppose that Ï : Q â Z is an isomorphism. Then 1 = Ï(x) forsome x â Q. Writex = x + x and derive a contradiction.
Prove that Q is not isomorphic to Z (both groups underaddition).
Hint: Suppose that Ï : Q â Z is an isomorphism. Then 1 = Ï(x) forsome x â Q. Writex = x + x and derive a contradiction.
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