In this paper we prove a conjecture of J. Andrade, S.J. Miller, K. Pratt and M. Trinh, showing the existence of a non-trivial infinite F-set over Fq[x] for every fixed q. We also provide the proof of a refinement of the conjecture, involving the notion of width of an F-set, which is a natural number encoding the complexity of the set.

On the existence of infinite, non-trivial F-sets

Ferraguti, Andrea;
2016-01-01

Abstract

In this paper we prove a conjecture of J. Andrade, S.J. Miller, K. Pratt and M. Trinh, showing the existence of a non-trivial infinite F-set over Fq[x] for every fixed q. We also provide the proof of a refinement of the conjecture, involving the notion of width of an F-set, which is a natural number encoding the complexity of the set.
2016
Settore MAT/03 - Geometria
F-sets; Finite fields; Polynomials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/101127
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