Paloma Bengoechea
Published 2017-03-08Version 1
Let T_{n,2k}(X) be the characteristic polynomial of the n-th Hecke operator acting on the space of cusp forms of weight 2k for the full modular group (k is any even positive integer >5). We show that if there exists n>1 such that T_{n,2k}(X) is irreducible and has the full symmetric group as Galois group, then the same is true of T_{p,2k}(X) for all primes p.
Galois groups of $\binom{n}{0} + \binom{n}{1} X + \ldots + \binom{n}{6} X^6$
Galois Groups of Generic Polynomials
On Galois Groups of Prime Degree Polynomials with Complex Roots
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