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Group under complex multiplication

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Reference no: EM132063228

Let G be the set of the fifth roots of unity.

1. Use de Moivre's formula to verify that the fifth roots of unity form a group under complex multiplication, showing all work.

2. Prove that G is isomorphic to Z5

Let F be a field. Let S and T be subfields of F.

3. Use the definitions of a field and a subfield to prove that S ∩ T is a field, showing all work.

Reference no: EM132063228

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