Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595565 | Journal of Number Theory | 2008 | 12 Pages |
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