(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that G = {[1 0 [-1 0 [0 -1 [0 1

0 1], 0 -1], 1 0], -1 0]} is a subgroup of GL_{2[/SUB(Z) isomorphic to {1,-1,i,-i}. 3. The attempt at a solution I am clearly sure each element in G can be denoted as {1,-1,i,-i}. (I can explain why {1,-1,i,-i}, but I will not explain at here.) so G -> {1,-1,i,-i} is a bijection, so isomorphism. Is it too simple?}

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# Homomorphism and isomorphism

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