Solution-Prove that g is isomorphic to z5 let f be a field

Prove that g is isomorphic to z5 let f be a field

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Reference no: EM13923641

I'm confused as to how to go about answering #2 and #3, and I'm not confident in my approach to #1.
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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: EM13923641

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Prove that g is isomorphic to z5 let f be a field

Reference no: EM13923641

Reference no: EM13923641

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