We characterize finite Galois extensions of the field of rational numbers in terms of the rings of integral valued polynomials recently introduced by Loper and Werner, consisting of those polynomials which have coefficients in Q and such that and take the ring of integers of the Galois extension to itself.
Galois structure on integral valued polynomials
LONGO, MATTEO;PERUGINELLI, GIULIO
2017
Abstract
We characterize finite Galois extensions of the field of rational numbers in terms of the rings of integral valued polynomials recently introduced by Loper and Werner, consisting of those polynomials which have coefficients in Q and such that and take the ring of integers of the Galois extension to itself.
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