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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On generalizations of Fermat curves over finite fields and their automorphisms

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Author(s):
Arakelian, Nazar ; Speziali, Pietro
Total Authors: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 45, n. 11, p. 4926-4938, 2017.
Web of Science Citations: 0
Abstract

Let chi be an irreducible algebraic curve defined over a finite field F-q of characteristic p > 2. Assume that the F-q-automorphism group of chi admits a subgroup isomorphic to the direct product of two cyclic groups C-m and C-n of orders m and n prime to p, such that both quotient curves chi/C-n and chi/C-m are rational. In this paper, we provide a complete classification of such curves as well as a characterization of their full automorphism groups. (AU)

FAPESP's process: 13/00564-1 - Rational points on algebraic curves over finite fields.
Grantee:Nazar Arakelian
Support Opportunities: Scholarships in Brazil - Post-Doctoral