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where a, b, c, d are real numbers, and ''ad'' − ''bc'' ≠ 0.  It is an automorphism of the [[Riemann Sphere]], and the set of all Möbius transformations on the Riemann sphere forms the automorphism group.
 
where a, b, c, d are real numbers, and ''ad'' − ''bc'' ≠ 0.  It is an automorphism of the [[Riemann Sphere]], and the set of all Möbius transformations on the Riemann sphere forms the automorphism group.
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[[Category:Mathematics]]
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[[Category:complex analysis]]
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