List questions from kummer-theory

Published on 25 Mar 2026 - 1:14

193

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When is a non-archimedean prime $v$ of a number field unramified in a Kummer extension?

Published on 26 Apr 2026 - 14:20

108

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Kummer's Theorem: Understanding Equation of Ideal

Published on 04 Apr 2026 - 1:04

59

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Find an extension $F/L$ such that $F/\mathbb{Q}$ is radical

Published on 28 Mar 2026 - 13:01

267

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Prime decomposition of pR in $\mathbb{A}\cap \mathbb{Q}[\alpha]$ for $\alpha={^3\sqrt{hk^2}}$ if p is a prime such that $p^2|m$

Published on 25 Mar 2026 - 11:54

364

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Real solution of Kummer's equation

Published on 06 Apr 2026 - 6:52

149

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minimal polynomial in Kummer extension

Published on 25 Mar 2026 - 11:52

99

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$E/F$ is an extension with radicals of order $n$

Published on 25 Mar 2026 - 10:35

246

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Degree of the Kummer extension - computing

Published on 25 Mar 2026 - 11:53

139

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Lemmermeyer's proof of Kronecker-Weber

Published on 25 Mar 2026 - 11:53

39

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If $L/K$ is abelian with exponent $n$, then $L=K(\sqrt[n]{\Delta})$ with $\Delta=K^\cap L^{n}$

Published on 25 Mar 2026 - 11:54

84

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Kummer map on the formal group of elliptic curve

Published on 22 Apr 2026 - 14:37

109

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Prove that $\left[\Bbb Q\left[\sqrt[d_1]{a_1},...,\sqrt[d_n]{a_n}\right]:\Bbb Q\right]=\prod_{i=1}^nd_i$.

Published on 25 Mar 2026 - 10:35

40

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A subgroup of the Kummer group.

Published on 06 Apr 2026 - 0:51

67

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Discriminant of the Kummer extension of p-adics

Published on 25 Mar 2026 - 10:35

List Question

Serre's Modularity Conjecture -- Weight

When is a non-archimedean prime $v$ of a number field unramified in a Kummer extension?

Kummer's Theorem: Understanding Equation of Ideal

Find an extension $F/L$ such that $F/\mathbb{Q}$ is radical

Prime decomposition of pR in $\mathbb{A}\cap \mathbb{Q}[\alpha]$ for $\alpha={^3\sqrt{hk^2}}$ if p is a prime such that $p^2|m$

Real solution of Kummer's equation

minimal polynomial in Kummer extension

$E/F$ is an extension with radicals of order $n$

Degree of the Kummer extension - computing

Lemmermeyer's proof of Kronecker-Weber

If $L/K$ is abelian with exponent $n$, then $L=K(\sqrt[n]{\Delta})$ with $\Delta=K^\cap L^{n}$

Kummer map on the formal group of elliptic curve

Prove that $\left[\Bbb Q\left[\sqrt[d_1]{a_1},...,\sqrt[d_n]{a_n}\right]:\Bbb Q\right]=\prod_{i=1}^nd_i$.

A subgroup of the Kummer group.

Discriminant of the Kummer extension of p-adics

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