List questions from kummer-theory

Published on 25 Mar 2026 - 15:17

508

Views

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

Published on 25 Mar 2026 - 15:17

153

Views

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

Published on 25 Mar 2026 - 15:17

162

Views

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

Published on 25 Mar 2026 - 15:12

45

Views

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

Published on 25 Mar 2026 - 15:12

114

Views

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

Published on 25 Mar 2026 - 15:12

448

Views

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

Published on 25 Mar 2026 - 15:17

183

Views

Understanding the exactness of a sequence in Kummer Theory

Published on 25 Mar 2026 - 15:17

185

Views

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

Published on 25 Mar 2026 - 15:12

274

Views

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

Published on 25 Mar 2026 - 15:12

299

Views

Perfect pairing in Kummer Theory for the inifinite case

Published on 25 Mar 2026 - 15:17

100

Views

Uniqueness of the sum of roots of unity

Published on 25 Mar 2026 - 15:12

340

Views

Kummer extension correspondence without roots of unity (Serge Lang)

Published on 25 Mar 2026 - 15:17

234

Views

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

Published on 25 Mar 2026 - 15:17

138

Views

Kummer's hypergeometric negative integer

Published on 25 Mar 2026 - 15:10

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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