What is the order of the group U(12)?

What does U(12) look like excatly?

Thanks.

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- Aug 28th 2007, 07:45 AMtttcomraderOrder of a group
What is the order of the group U(12)?

What does U(12) look like excatly?

Thanks. - Aug 28th 2007, 07:51 AMThePerfectHacker
- Aug 28th 2007, 08:05 AMtttcomrader
I really dont know, let me ask the professor tomorrow.

- Aug 28th 2007, 09:39 AMtttcomrader
I just talked to my professor and he told me that U(12) is a group under multiplication modulo 12, so all k less than 12 such that k is relative prime to 12. Thus U(12) = {1,7,9,11}, so <U(12)> = 4.

Thanks.