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Curves with more than one inner Galois point.
- 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