ON THE LAGRANGE RESOLVENTS OF A DIHEDRAL QUINTIC POLYNOMIAL

ON THE LAGRANGE RESOLVENTS OF A DIHEDRAL QUINTIC POLYNOMIAL

The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quintic polynomial f ( x ) is explicitly determined in terms of a generator for the quadratic subfield of the splitting field of f ( x ) .

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2004, Vol.2004 (69), p.3817-3820-294
Hauptverfasser: Spearman, Blair K., Williams, Kenneth S.
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The cyclic quartic field generated by the fifth powers of the Lagrange resolvents of a dihedral quintic polynomial f ( x ) is explicitly determined in terms of a generator for the quadratic subfield of the splitting field of f ( x ) .
ISSN:0161-1712
1687-0425
DOI:10.1155/S0161171204407637