For prime d, the Misiurewicz polynomial G_{d,m,n} has no more rational irreducible factors than its reduction modulo d, which yields new irreducibility families and the first bounds for periods above three.
Misiurewicz points for polynomial m aps and transversality
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A note on Misiurewicz polynomials
For prime d, the Misiurewicz polynomial G_{d,m,n} has no more rational irreducible factors than its reduction modulo d, which yields new irreducibility families and the first bounds for periods above three.