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並前往http://web.pdx.edu/~sstrand/Math344/Z-2Z-Iso.pdf

A Group Isomorphic to a Proper Subgroup

A Group Isomorphic to a Proper Subgroup. We will show that Z. ∼. = 2Z (under addition). Proof. Let φ : Z → 2Z be defined by φ(a) = a + a, ∀a ∈ Z. We ...

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