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Curves with more than one inner Galois point.

Authors :
Korchmáros, Gábor
Lia, Stefano
Timpanella, Marco
Source :
Journal of Algebra. Jan2021, Vol. 566, p374-404. 31p.
Publication Year :
2021

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]

Details

Language :
English
ISSN :
00218693
Volume :
566
Database :
Academic Search Index
Journal :
Journal of Algebra
Publication Type :
Academic Journal
Accession number :
146587587
Full Text :
https://doi.org/10.1016/j.jalgebra.2020.08.024