Irreducible polynomials over finite fields produced by composition of quadratics
Irreducible polynomials over finite fields produced by composition of quadratics
For a set S of quadratic polynomials over a finite field, let C be the (infinite) set of arbitrary compositions of elements in S . In this paper we show that there are examples with arbitrarily large S such that every polynomial in C is irreducible. As a second result, …