題組內容
6. Let (ZxZ,⊕) be the group with (a, b)⊕(c, d) = (atc+2, 6+d-2) for any (a, b), (c, d) ∈ ZxZ where a+c+2 and b+d-2 are computed using ordinary addition and subtraction in Z.
申論題內容
(d) [8%] Let (G, +) be an additive group and let h: ZxZ → G be a group homomorphism where h(3, 2) = u and h(-2,6) = v. Please express h(18, 22) in terms of u and v.
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