Verify that a : lR -+ rc defined by a(x) = cos(2Jrx) + i sin(2Jrx) is a homomorphism of
Chapter 33, Problem 33.34(choose chapter or problem)
Verify that a : lR -+ rc defined by a(x) = cos(2Jrx) + i sin(2Jrx) is a homomorphism of theadditive group of lR onto the multiplicative group of all complex numbers of absolute valueI. What is Ker a? Interpret a geometrically. (See 33.25.)
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