Experts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.

Get a Professional Answer

Via email, text message, or notification as you wait on our site. Ask follow up questions if you need to.

100% Satisfaction Guarantee

Rate the answer you receive.

Ask Ryan Your Own Question

Ryan, Engineer

Category: Calculus and Above

Satisfied Customers: 8835

Experience: B.S. in Civil Engineering

40260889

Type Your Calculus and Above Question Here...

Ryan is online now

I am trying to prove isomorphism between a fifth root of

Customer Question

I am trying to prove isomorphism between a fifth root of unity and z sub 5 under addition. I know I have to show one to one, onto, and homomorphism. But I can't seem to get started. I've already proven that the fifth root of unity is a group, using de moivre's formula, but I can't seem to wrap my head around how to map between the two groups to find my one-to-one.

Unfortunately, I will need to see more. I kind of know that equation already, since it's the derivation of de Moivre's formula for the fifth roots of unity. But the actual problem I'm having is how to use it to map from the group to the Z5 under addition. So I guess I need to see how you plug one in to get the other?