GALOIS POLYNOMIALS

Abstract

We associate a positive integer n and a subgroup H of the group G(n) with a polynomial Jn,H (x), which is called the Galois polynomial. It turns out that Jn,H (x) is a polynomial with integer coefficients for any n and H. In this paper, we provide an equivalent condition for a subgroup H to provide the Galois polynomial which is irreducible over Q.

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