List questions from ramification

Published on 06 Apr 2026 - 2:01

760

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Galois group of unramified extension of $\mathbb{Q}_p$ is cyclic

Published on 25 Mar 2026 - 7:44

163

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The Relationship Between Cyclotomic Polynomials and Ramification

Published on 25 Mar 2026 - 3:18

86

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Any element in $K/\mathbb Q_p$ can be generated by some $\pi \in K$

Published on 25 Mar 2026 - 7:43

50

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Understanding surjectivity of $G_{\mathfrak{P}}\to G(\kappa(\mathfrak{P})\mid \kappa(\mathfrak{p}))$

Published on 25 Mar 2026 - 11:03

282

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Decomposition and inertia fields in the factorization of $3$ in $\mathbb{Q}(\zeta_{24})$

Published on 25 Mar 2026 - 3:24

126

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Subextension of tamely ramified extension is tamely ramified

Published on 25 Mar 2026 - 7:44

95

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Field $L$ over $K=\mathbb{Q}(\sqrt{-5})$ for which every $\mathfrak{p}\subset\mathcal{O}_K$ is unramified

Published on 25 Mar 2026 - 9:32

264

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Factoring primes in $\mathbb{Q}(\sqrt{-1},\sqrt{5})$

Published on 25 Mar 2026 - 7:49

788

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Some properties about prime ideal under Galois extension

Published on 25 Mar 2026 - 7:43

136

Views

Primes which ramify in $\mathbb{Q}(\sqrt[3]{10})$

Published on 25 Mar 2026 - 7:40

826

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Maximal Unramified Extension of a Galois Extension

Published on 25 Mar 2026 - 9:28

270

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Finite Unramified Galois Extension

Published on 25 Mar 2026 - 7:49

173

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About ramification groups

Published on 05 Apr 2026 - 10:53

110

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Inertia group of function field

Published on 06 Apr 2026 - 1:50

List Question

some notation in field extension

Galois group of unramified extension of $\mathbb{Q}_p$ is cyclic

The Relationship Between Cyclotomic Polynomials and Ramification

Any element in $K/\mathbb Q_p$ can be generated by some $\pi \in K$

Understanding surjectivity of $G_{\mathfrak{P}}\to G(\kappa(\mathfrak{P})\mid \kappa(\mathfrak{p}))$

Decomposition and inertia fields in the factorization of $3$ in $\mathbb{Q}(\zeta_{24})$

Subextension of tamely ramified extension is tamely ramified

Field $L$ over $K=\mathbb{Q}(\sqrt{-5})$ for which every $\mathfrak{p}\subset\mathcal{O}_K$ is unramified

Factoring primes in $\mathbb{Q}(\sqrt{-1},\sqrt{5})$

Some properties about prime ideal under Galois extension

Primes which ramify in $\mathbb{Q}(\sqrt[3]{10})$

Maximal Unramified Extension of a Galois Extension

Finite Unramified Galois Extension

About ramification groups

Inertia group of function field

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