List questions from kummer-theory

Published on 26 Nov 2017 - 12:39

507

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Deducing Galois group of $t^6 + 3$ over the rationals

Published on 28 Dec 2017 - 18:23

152

Views

Understanding the map about the classification of all abelian extensions with Galois groups with a fixed exponent (Kummer Theory)

Published on 11 Aug 2020 - 19:10

161

Views

Kummer Theory: Understanding the isomorphism $F^\times \cap E^{\times n}/F^{\times n} \to \operatorname{Hom}(G,\mu_n)$

Published on 11 Aug 2020 - 19:23

44

Views

Understanding the map $F^\times \cap E^{\times n} \to H^1(G,\mu_n)$

Published on 11 Aug 2020 - 20:59

113

Views

Understanding some equality in a proof of the Main Theorem of Kummer Theory

Published on 31 Aug 2020 - 22:04

447

Views

Cyclic extensions of degree $n$ which contain a primitive $n$-th root of unity

Published on 03 Sep 2020 - 1:33

182

Views

Understanding the exactness of a sequence in Kummer Theory

Published on 03 Sep 2020 - 2:16

184

Views

Understanding the finite abelian extensions of $\mathbb{Q}$ of exponent $2$

Published on 08 Sep 2020 - 21:20

273

Views

Understanding a step of the proof of the Main Theorem of Kummer Theory

Published on 12 Sep 2020 - 18:41

298

Views

Perfect pairing in Kummer Theory for the inifinite case

Published on 15 Sep 2020 - 14:17

99

Views

Uniqueness of the sum of roots of unity

Published on 05 Dec 2020 - 17:46

339

Views

Kummer extension correspondence without roots of unity (Serge Lang)

Published on 07 Jan 2021 - 15:28

233

Views

Necessity for n-th roots of unity in (simple) Kummer extension

Published on 24 Feb 2021 - 12:27

137

Views

Kummer's hypergeometric negative integer

Published on 14 Aug 2021 - 19:56

List Question

Find the bijection between Kummer's field and Galois subgroup

Deducing Galois group of $t^6 + 3$ over the rationals

Understanding the map about the classification of all abelian extensions with Galois groups with a fixed exponent (Kummer Theory)

Kummer Theory: Understanding the isomorphism $F^\times \cap E^{\times n}/F^{\times n} \to \operatorname{Hom}(G,\mu_n)$

Understanding the map $F^\times \cap E^{\times n} \to H^1(G,\mu_n)$

Understanding some equality in a proof of the Main Theorem of Kummer Theory

Cyclic extensions of degree $n$ which contain a primitive $n$-th root of unity

Understanding the exactness of a sequence in Kummer Theory

Understanding the finite abelian extensions of $\mathbb{Q}$ of exponent $2$

Understanding a step of the proof of the Main Theorem of Kummer Theory

Perfect pairing in Kummer Theory for the inifinite case

Uniqueness of the sum of roots of unity

Kummer extension correspondence without roots of unity (Serge Lang)

Necessity for n-th roots of unity in (simple) Kummer extension

Kummer's hypergeometric negative integer

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