Abstract: We will discuss some problems and results connected with finding generators for the group of rational points of elliptic curves over finite fields and connect this with the analogue for elliptic curves over function fields of Artin's conjecture for primitive roots.

Recording during the thematic meeting: "Dynamics and Graphs over Finite Fields: Algebraic, Number Theoretic and Algorithmic Aspects" the March 31, 2016 at the Centre International de Rencontres Mathématiques (Marseille, France)

Filmmaker: Guillaume Hennenfent

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