Question

A Möbius transformation, other than the identity map has​

Answer 1

THE MOBIUS TRANSFORMATION ¨

LECTURES NOTES IN MAT2410

Definition 1. Let f(z)=(az + b)/(cz + d) with a, b, c, d 2 C and ad 2 THE MOBIUS TRANSFORMATION LECTURES NOTES IN MAT2410 ¨

that det THE MOBIUS TRANSFORMATION LECTURES NOTES IN MAT2410 3 ¨

Let |z 4 THE MOBIUS TRANSFORMATION LECTURES NOTES IN MAT2410 ¨

Let z1, z2 and z3 be distinct points in P. Define S 2 Aut(P) by

S(z) =

8

>>><

>>>:

z

Answer 2

Answer:

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