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

Masanari Kida; Yuichi Rikuna; Atsushi Sato

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arXiv · 0802.0054

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

Masanari Kida·Yuichi Rikuna·Atsushi Sato

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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.

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Masanari Kida, Yuichi Rikuna, Atsushi Sato. 2008-02-01. Classifying Brumer's quintic polynomials by weak Mordell-Weil groups. https://arxiv.org/abs/0802.0054

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