I'm looking at the wikipedia article on Mobius group. But I didn't get if this group is isomorphic to $PSL(2, \mathbb{C})$ or to $PGL(2, \mathbb{C})$
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See also this question, or this one. – Dietrich Burde Mar 15 '19 at 13:13
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This duplicate is better, I am sorry. I don't know how to change this. – Dietrich Burde Mar 15 '19 at 13:22