Kiwi1
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I am asked:
Prove that G \rightarrow S_X defined by h(x) = \rho _a is a homomorphism.
So I must prove that for any a,b \in G h(a)h(b) = h(ab).
But must I also prove seperately that: h is ONTO S_X?
Prove that G \rightarrow S_X defined by h(x) = \rho _a is a homomorphism.
So I must prove that for any a,b \in G h(a)h(b) = h(ab).
But must I also prove seperately that: h is ONTO S_X?