Let U be the multiplicative group z C z 1 Let ( n cos(2 n) i sin(2 n) where n Z To what group we have mentioned is U ( n ) isomorphic ...

U n is isomorphic to U for the map U U given by z z ...

Let U be the multiplicative group {z C | |z| = 1}. Let ( n =

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Let U be the multiplicative group {z ∈ C | |z| = 1}.

Let (ζ_n= cos(2π/n) + i sin(2π/n) where n ∈ Z⁺. To what group we have mentioned is U /(ζ_n) isomorphic?

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Question Posted: Jan 02, 2023 04:46 AM

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Let U be the multiplicative group {z C | |z| = 1}. Let ( n =

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A First Course In Abstract Algebra

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