List questions from p-adic-number-theory

Published on 23 Jun 2019 - 22:40

241

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Topological p-adic vector spaces are totally disconnected?

Published on 26 Mar 2026 - 17:34

71

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Which of the following facts about lambda rings are false?

Published on 25 Mar 2026 - 1:16

225

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the integral basis of the ring of integers $O_K$ in the $3$ quadratic extensions of p-adic field $ \mathbb{Q}_p$

Published on 26 Jun 2019 - 17:29

202

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What is $\Bbb Q_p(p^{1/p^\infty})$?

Published on 27 Jun 2019 - 17:19

111

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Ring of p-adic integers and harmonic sums

Published on 28 Jun 2019 - 23:31

259

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Galois is conserved under completions

Published on 29 Jun 2019 - 14:50

117

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$\sigma$ de Rham p-adic Galois representations

Published on 24 Mar 2026 - 23:43

93

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How to show that $\mathbb{Q}_3(\sqrt {-1}) \cong \mathbb{Q}_3(\sqrt 2) \cong \mathbb{Q}_3(\sqrt 5)$?

Published on 29 Jun 2019 - 17:35

254

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Is $O_{C_p}$ and ${O_{C_p}}^\times$ a profinite group or compact?

Published on 25 Mar 2026 - 17:39

102

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Applying Hensel's Lemma When Leading Coefficient is Not a Unit

Published on 24 Mar 2026 - 23:44

329

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Free submodule of finite index over pid

Published on 03 Jul 2019 - 18:26

100

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Designate set $ \lbrace n \in\mathbb N : 2^{n-1} | n! \rbrace $

Published on 26 Mar 2026 - 14:43

238

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why $K \otimes \mathbf{Q}_p = \prod K_{\mathfrak{P}_i}$ for number field $K$

Published on 05 Jul 2019 - 13:06

137

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Isomorphism between rings $A/m^n \rightarrow \hat{A}/\hat{m}^n$.

Published on 25 Mar 2026 - 17:43

List Question

Proving that there exists a solution to the quadratic equation

Topological p-adic vector spaces are totally disconnected?

Which of the following facts about lambda rings are false?

the integral basis of the ring of integers $O_K$ in the $3$ quadratic extensions of p-adic field $ \mathbb{Q}_p$

What is $\Bbb Q_p(p^{1/p^\infty})$?

Ring of p-adic integers and harmonic sums

Galois is conserved under completions

$\sigma$ de Rham p-adic Galois representations

How to show that $\mathbb{Q}_3(\sqrt {-1}) \cong \mathbb{Q}_3(\sqrt 2) \cong \mathbb{Q}_3(\sqrt 5)$?

Is $O_{C_p}$ and ${O_{C_p}}^\times$ a profinite group or compact?

Applying Hensel's Lemma When Leading Coefficient is Not a Unit

Free submodule of finite index over pid

Designate set $ \lbrace n \in\mathbb N : 2^{n-1} | n! \rbrace $

why $K \otimes \mathbf{Q}_p = \prod K_{\mathfrak{P}_i}$ for number field $K$

Isomorphism between rings $A/m^n \rightarrow \hat{A}/\hat{m}^n$.

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