1. Curves with more than one inner Galois point.
- Author
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Korchmáros, Gábor, Lia, Stefano, and Timpanella, Marco
- Subjects
- *
GROUP theory , *ALGEBRAIC curves , *CURVES , *AUTOMORPHISM groups , *ALGEBRAIC fields , *PLANE curves - Abstract
Let C be an irreducible plane curve of PG (2 , K) where K is an algebraically closed field of characteristic p ≥ 0. A point Q ∈ C is an inner Galois point for C if the projection π Q from Q is Galois. Assume that C has two different inner Galois points Q 1 and Q 2 , both simple. Let G 1 and G 2 be the respective Galois groups. Under the assumption that G i fixes Q i , for i = 1 , 2 , we provide a complete classification of G = 〈 G 1 , G 2 〉 and we exhibit a curve for each such G. Our proof relies on deeper results from group theory. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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