International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 69, Pages 3817-3820
doi:10.1155/S0161171204407637

On the Lagrange resolvents of a dihedral quintic polynomial

Blair K. Spearman1 and Kenneth S. Williams2

 1Department of Mathematics and Statistics, Okanagan University College, Kelowna Canada V1V 1V7, British Columbia, Canada
2School of Mathematics and Statistics, Carleton University, Ottawa K1S 5B6, Ontario, Canada
Received 14 July 2004

Abstract

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) .