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:<math>f(z) = \frac{a z + b}{c z + d}</math>
:<math>f(z) = \frac{a z + b}{c z + d}</math>
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.
[[Category:Mathematics]]
[[Category:Mathematics]]