Affiliation:
Pennsylvania State University
Date:
Wed, 06/12/2023 - 14:30 - 15:30
Let p be an odd prime and f(x) a polynomial of degree at least 5 with complex coefficients and without repeated roots. Suppose that all the coefficients of f(x) lie in a subfield K such that:
1) K contains a primitive p-th root of unity;
2) f(x) is irreducible over K;
3) the Galois group Gal(f) acts doubly transitively on the set of roots of f(x);