Engineering Mathematics Set Theory & Algebra

(G, o) → (G', o') is a Group Homomorphism if

1

f(a o b) = f(a) o' f(b) for all a, b ∈ G

2

f(a + b) = f(a) o' f(b) for all a, b ∈ G

3

f(a * b) = f(a) o' f(b) for all a, b ∈ G

4

f(a - b) = f(a) o' f(b) for all a, b ∈ G

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