Article ID Journal Published Year Pages File Type
4595565 Journal of Number Theory 2008 12 Pages PDF
Abstract

Circulant matrices are used to construct polynomials, associated with Chebyshev polynomials of the first kind, whose roots are real and made explicit. Then the Galois groups of the polynomials are computed, giving rise to new examples of polynomials with cyclic Galois groups and Galois groups of order p(p−1) that are generated by a cycle of length p and a cycle of length p−1.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory