SOLUTION: Determine whether the following is group homomorphism. P: R^* to R^*, P(r): 5r

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Question 29593: Determine whether the following is group homomorphism.
P: R^* to R^*,
P(r): 5r
Answer by khwang(438) About Me  (Show Source):
You can put this solution on YOUR website!
I suppose you mean R^* the mult. group in R-{0}
(make it clear)
P: R^* to R^*,
P(r): 5r

Since P(1)= 5. but P(1) should be 1 if P is a homo.
Ans: No.
Kenny