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Show the function f: ℂ*→ℝ(positive) given by f(a+bi)=(aČ+bČ)^(1/2) is a group homomorphism.
Quote: Originally Posted by apple2009 Show the function given by is a group homomorphism. What are the operations on and ?
Quote: Originally Posted by apple2009 Show the function f: ℂ*→ℝ(positive) given by f(a+bi)=(aČ+bČ)^(1/2) is a group homomorphism. This is the same as showing that ...piece of cake. Tonio