Irreducible polynomials in quadratic semigroups

2022/08/08 by Hindes, Wade, Jacobs, Reiyah, Ye, Peter · 2 citations
#Commutative Algebra (math.AC) #Dynamical Systems (math.DS) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2208.03856

Abstract

We construct many irreducible polynomials within semigroups generated by sets of the form S=\x²+c₁,…,x²+c_s\ under composition.

Cited by

• Preperiodic integers for x^d+c in large degree
• Prime-powered images and irreducible polynomials in dynamical semigroups

Related

• On the proportion of irreducible polynomials in unicritically generated semigroups
• Irreducible polynomials over finite fields produced by composition of quadratics
• On Schur-Szego composition of polynomials
• Prime-powered images and irreducible polynomials in dynamical semigroups
• Irreducible Compositions of Polynomials over Finite Fields