A Note on Cyclotomic Polynomials

Abstract

We present a more general proof that cyclotomic polynomials are irreducible over Q and other number fields that meet certain conditions. The proof provides a new perspective that ties together well-known results, as well as some new consequences, including a necessary condition for the algebraic solution by radicals of certain irreducible polynomials.

arXiv commentA substantial part of this paper overlaps with "A Congruence Property of Solvable Polynomials."