February 19th, 2011, 10:30 AM  #1 
Newbie Joined: Feb 2011 Posts: 13 Thanks: 0  Roots of unity
Can anyone help me with this? How can I prove that the nrth roots of unity (the set of all solutions to the equation x^n=1) form a group of order n. What are the generators? 
February 19th, 2011, 11:18 AM  #2 
Senior Member Joined: Nov 2010 From: Staten Island, NY Posts: 152 Thanks: 0  Re: Roots of unity
The roots of unity are a subset of the complex numbers containing 1. Since the complex numbers are a group under multiplication you need only show that when you multiply 2 roots of unity you get another root of unity. That is a simple computation.

February 19th, 2011, 01:20 PM  #3  
Senior Member Joined: May 2008 From: York, UK Posts: 1,300 Thanks: 0  Re: Roots of unity Quote:
 

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