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October 3rd, 2009, 06:34 PM  #1 
Newbie Joined: Oct 2009 Posts: 14 Thanks: 0  Isomorphism Mapping Question
Find an isomorphism phi : (Z sub12,+) > (Z* sub13, · ). (Idea: phi(1) determines phi, try various phi(1) until one works.)

October 4th, 2009, 03:03 AM  #2 
Senior Member Joined: Oct 2007 From: Chicago Posts: 1,701 Thanks: 3  Re: Isomorphism Mapping Question
That's the idea. You know that phi(1) = 1 won't work, since 1 is in the identity of Z_13 *. So try anything else, and see if it works.


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