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What is a circle group?(a) a subgroup complex numbers having magnitude 1 of the group of nonzero complex elements(b) a subgroup rational numbers having magnitude 2 of the group of real elements(c) a subgroup irrational numbers having magnitude 2of the group of nonzero complex elements(d) a subgroup complex numbers having magnitude 1 of the group of whole numbersI had been asked this question in a national level competition.This question is from Groups in portion Groups of Discrete Mathematics

Answer»

The correct option is (a) a subgroup complex NUMBERS having magnitude 1 of the GROUP of NONZERO complex elements

Best explanation: The SET of complex numbers with magnitude 1 is a subgroup of the nonzero complex numbers associated with multiplication. It is CALLED the circle group as its elements form the unit circle.



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