Abstract

Let G be the Galois group of a Galois point for a plane curve C. An element of G induces a birational transformation of C. We study if it can be extended to a projective or birational transformation of the plane. In the course of the study we give the defining equation of a rational curve with the Galois point. Furthermore, we introduce a special birational transformation in order to make the defining equation into a simpler form.

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