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Functional graphs of rational maps induced by endomorphisms of ordinary elliptic curves over finite fields

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In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields. For any such map we describe the cycle and… Click to show full abstract

In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields. For any such map we describe the cycle and the tree structures of the associated graphs.

Keywords: elliptic curves; maps induced; induced endomorphisms; ordinary elliptic; rational maps; endomorphisms ordinary

Journal Title: Periodica Mathematica Hungarica
Year Published: 2018

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