International Journal of Mathematics and Mathematical Sciences (Jan 2004)

On the Lagrange resolvents of a dihedral quintic polynomial

  • Blair K. Spearman,
  • Kenneth S. Williams

DOI
https://doi.org/10.1155/S0161171204407637
Journal volume & issue
Vol. 2004, no. 69
pp. 3817 – 3820

Abstract

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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) .