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math.NT2016★ 10 cited
On sets of irreducible polynomials closed by composition
Andrea Ferraguti, Giacomo Micheli, Reto Schnyder
Let be a set of monic degree polynomials over a finite field and let be the compositional semigroup generated by . In this paper we establish a nec…
math.NT2016★ 4 cited
On the existence of infinite, non-trivial -sets
Andrea Ferraguti, Giacomo Micheli
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 -set over for every fixe…