Abstract
We study cyclic extensions arising from Kummer theory of norm algebraic tori. In particular, we compute quintic cyclic polynomials defining 'Kummer extension'. The polynomials do not only give all the quintic cyclic extensions over the rationals by choosing the parameters but also classify all such extensions. Some arithmetic properties of the polynomials are also derived. © Springer-Verlag Berlin Heidelberg 2006.
Cite
CITATION STYLE
Kida, M. (2006). Cyclic polynomials arising from kummer theory of norm algebraic tori. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4076 LNCS, pp. 102–113). Springer Verlag. https://doi.org/10.1007/11792086_8
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
