Curves with more than one inner Galois point

Algebraic curves admitting inner and outer Galois points

“…Note that G 1 fixes P 1 and G 2 fixes P 2 . In this case, the group G = G P 1 , G P 2 (= G P ⋉ G Q ) has been classified by Korchmáros, Lia, and Timpanella[10]. It is noted that this birational embedding is different from the one given by the triple (G P , G Q , P ) in the case of Theorem 3 (b).In fact, the embedding of d = 4 described in Theorem 3 does not admit two inner Galois points.…”