I start with the group GL(2,N), where N is prime. I want to break these elements into N classes. One way to do this would be to find a homomorphism to Z_N, does such a homomorphism exist for general N? What is it? Is there another way to break the group into classes without using a homomorphism?(adsbygoogle = window.adsbygoogle || []).push({});

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# Homomorphism from GL(2,N) to Z_N?

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