List questions from kummer-theory

Published on 22 Mar 2026 - 15:53

139

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Kummer-type transformation for a special 2F2 hypergeometric function

Published on 22 Mar 2026 - 23:10

183

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Show that this Galois group is solvable (Base case)

Published on 22 Mar 2026 - 16:29

83

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Galois extension of exponent $mp^r$ in characteristic $p$

Published on 20 Mar 2026 - 8:36

239

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Special case of normal basis theorem - Artin 16.M.13

Published on 22 Mar 2026 - 16:45

191

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Kummer Theory Proof

Published on 22 Mar 2026 - 15:14

84

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Kummer Theory Square Extension

Published on 16 Mar 2026 - 22:41

593

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Cyclic Field Extension of Local Field

Published on 23 Mar 2026 - 1:14

334

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Kummer Generators for Cyclic Extensions

Published on 22 Mar 2026 - 8:52

114

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Why p-cyclic extension iff $p^m$-cyclic extension $\forall m$

Published on 23 Mar 2026 - 4:26

126

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What is $\mathbb{Q}_3(\sqrt{-6})^{\times}/\left(\mathbb{Q}_3(\sqrt{-6})^{\times}\right)^3$?

Published on 23 Mar 2026 - 3:55

106

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Galois group of $x^p - a$, $a$ - squarefree

Published on 25 Mar 2026 - 7:16

117

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prove that $[F(\alpha):F]=p$ where $\alpha$ is a root of $x^p-a$

Published on 25 Mar 2026 - 7:16

589

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Tamely Ramified field extension of a Local Field

Published on 25 Mar 2026 - 7:16

624

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Galois extension with Galois group $A_4$

Published on 25 Mar 2026 - 7:15

List Question

kummer extension: converse part

Kummer-type transformation for a special 2F2 hypergeometric function

Show that this Galois group is solvable (Base case)

Galois extension of exponent $mp^r$ in characteristic $p$

Special case of normal basis theorem - Artin 16.M.13

Kummer Theory Proof

Kummer Theory Square Extension

Cyclic Field Extension of Local Field

Kummer Generators for Cyclic Extensions

Why p-cyclic extension iff $p^m$-cyclic extension $\forall m$

What is $\mathbb{Q}_3(\sqrt{-6})^{\times}/\left(\mathbb{Q}_3(\sqrt{-6})^{\times}\right)^3$?

Galois group of $x^p - a$, $a$ - squarefree

prove that $[F(\alpha):F]=p$ where $\alpha$ is a root of $x^p-a$

Tamely Ramified field extension of a Local Field

Galois extension with Galois group $A_4$

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