# How does the set of complex numbers (resp., nonzero complex numbers) form a group under addition (resp., multiplication)?

How is a complex number a group under addition.

How is a complex number a group under multiplication(without zero)

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@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way. – Arturo Magidin Dec 5 '10 at 22:09
The title should be changed. – Sean Tilson Dec 5 '10 at 22:58