Partial solvability by radicals

Pilar Fernandez-Ferreiros, M. Ángeles Gómez-Molleda, Laureano González-Vega · 2002

This paper is devoted to show, first, how to easily determine, when it exists, a non-trivial element in the centre of the Galois group of an irreducible polynomial in ℤ[x] and, second, how to deal in an efficient way with solvability by radicals when a non-trivial element in the centre of the Galois group of the considered polynomial is available.

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