Engineering Mathematics Set Theory & Algebra Groups

A mapping f from a group G into (onto) a group G' is said to be a homomorphism if-

1
f(xy) = f(x) f(y) ∀ x,y ∈ G
2
 f(x) = f(y), ∀ x,y ∈ G 
3
f(xy) = 0, ∀ x,y ∈ G
4
None of these

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