Classifying Brumer’s quintic polynomials by weak Mordell-Weil groups
نویسندگان
چکیده
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.
منابع مشابه
Quintic Polynomials of Hashimoto-tsunogai, Brumer, and Kummer
We establish an isomorphism between the quintic cyclic polynomials discovered by Hashimoto-Tsunogai and those arising from Kummer theory for certain algebraic tori. This enables us to solve the isomorphism problem for Hashimoto-Tsunogai polynomials and also Brumer’s quintic polynomials.
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