paper

Classifying Brumer's quintic polynomials by weak Mordell-Weil groups

arXiv:0802.0054

Abstract

We develop a general classification theory for Brumer's dihedral quintic polynomials by means of Kummer theory arising from certain elliptic curves. We also give a similar theory for cubic polynomials.

10 pages

Classifying Brumer's quintic polynomials by weak Mordell-Weil groups · wovepaper