2015, D. Bubboloni, J. Sonn, “Intersective polynomials with few irreducible factors”, in arXiv:
It is known that It is also known that if is realizable as a Galois group over the rationals, then it is also realizable as the Galois group of an intersective polynomial.
(grammar) Of a modifier: which modifies another term by delivering the intersection of their denotations.