Plane curves possessing two outer Galois points

Abstract

We classify plane curves $\mathcal{C}$ possessing two Galois points $P_1$ and $P_2\in {\mathbb{P}}^2\setminus \mathcal{C}$ such that the associated Galois groups $G_{P_1}$ and $G_{P_2}$ generate the semidirect product $G_{P_1}⋊G_{P_2}$. New examples of plane curves with two Galois points are also presented.

arXiv comment13 pages. The main theorem is extended

References in corpus (1)

• On the number of Galois points for a plane curve in characteristic zero

Cited by in corpus (1)

• Algebraic curves admitting inner and outer Galois points