Irreducible compositions of degree two polynomials over finite fields have regular structure

Let q be an odd prime power and D be the set of irreducible polynomials in Fq[x] which can be written as a composition of degree two polynomials. In this paper we prove that D has a natural regular structure by showing that there exists a finite automaton having D as accepted language. Our method is...

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Bibliographic Details
Main Authors: Ferraguti, A, Micheli, G, Schnyder, R
Format: Journal article
Published: Oxford University Press 2018