List questions from p-adic-number-theory

Published on 10 Oct 2020 - 7:31

58

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Why this sequence $1 \rightarrow \mathbb{U}_1/\mathbb{U}_n \rightarrow \mathbb{U}/\mathbb{U}_n \rightarrow \mathbb{F}_p^* \rightarrow 1$ is exact?

Published on 31 Mar 2026 - 10:07

93

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Polynomial ring with $p$-th root of unity

Published on 10 Oct 2020 - 8:32

99

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Mod-$p$ reduction of norm map

Published on 11 Oct 2020 - 4:52

56

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Existence of a square root of an non-uniformizer over an extension of $\mathbb{Q}_5$

Published on 12 Oct 2020 - 16:59

67

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Computing $\Bbb F_p[t]^{perf}$

Published on 28 Mar 2026 - 18:13

105

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Convergence and p-adic numbers

Published on 25 Mar 2026 - 12:14

351

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$p$-adic representation

Published on 14 Oct 2020 - 22:30

517

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Reference Request: Witt Vectors

Published on 19 Oct 2020 - 18:20

47

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Prove that $\mu_{p}(A_{1}(m)) \geq \mu_{p}(m!)$ for $A_{1}(m) = (2m+1) \prod_{k=1}^m (4k-1) - \prod_{k=1}^{m}(4k+1)$ and $p$ odd.

Published on 19 Oct 2020 - 23:22

59

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Is there a bijective correspondence among the sets $A$, $B$ and $C$?

Published on 20 Oct 2020 - 11:19

684

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Are rational numbers also p-adic numbers?

Published on 22 Oct 2020 - 14:38

224

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Question from $p$-adic HodgeTheory, linear algebra data

Published on 27 Mar 2026 - 11:37

115

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2-adic valuation of $5^{2^{k-2}}-1$

Published on 28 Mar 2026 - 14:07

127

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simple Lie algebra $sl(2,Q_p)$ over $p$-adic field

Published on 28 Oct 2020 - 8:53

List Question

Orders in $p$-adic Fields

Why this sequence $1 \rightarrow \mathbb{U}_1/\mathbb{U}_n \rightarrow \mathbb{U}/\mathbb{U}_n \rightarrow \mathbb{F}_p^* \rightarrow 1$ is exact?

Polynomial ring with $p$-th root of unity

Mod-$p$ reduction of norm map

Existence of a square root of an non-uniformizer over an extension of $\mathbb{Q}_5$

Computing $\Bbb F_p[t]^{perf}$

Convergence and p-adic numbers

$p$-adic representation

Reference Request: Witt Vectors

Prove that $\mu_{p}(A_{1}(m)) \geq \mu_{p}(m!)$ for $A_{1}(m) = (2m+1) \prod_{k=1}^m (4k-1) - \prod_{k=1}^{m}(4k+1)$ and $p$ odd.

Is there a bijective correspondence among the sets $A$, $B$ and $C$?

Are rational numbers also p-adic numbers?

Question from $p$-adic HodgeTheory, linear algebra data

2-adic valuation of $5^{2^{k-2}}-1$

simple Lie algebra $sl(2,Q_p)$ over $p$-adic field

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