List questions from p-adic-number-theory

Published on 27 Mar 2026 - 12:20

47

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Finite extension of $\mathbb{Q}_p$

Published on 27 Jul 2022 - 13:47

242

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How much truth does Hensel's Analogy really hold?

Published on 28 Jul 2022 - 20:34

144

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Show irreducibility for Polynomials of degree 4 over p-adic Fields

Published on 25 Mar 2026 - 14:38

125

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Is $\Bbb{Z}_p$ or $\Bbb{Z}_p^2$ extension unramified?

Published on 29 Mar 2026 - 18:14

59

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Galois group of polynomials over p-adic Fields

Published on 28 Mar 2026 - 10:03

61

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How to obtain $\operatorname{Gal}(f\mid \mathbb{Q}_3)=A_3$ or $S_3$?

Published on 03 Apr 2026 - 11:42

53

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comparision of the Bruhat-tits tree with lattices in $\mathbb{R}^2$ || request for resources

Published on 25 Mar 2026 - 7:44

38

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Show that $x^3-p \in \Bbb{Q}_p[x]$ for $p=2,3$ splits completely or doesnt over $\mathbb{Q}_3$(p^(1/3)) and $\mathbb{Q}_2$(p^(1/3))

Published on 03 Apr 2026 - 11:44

272

Views

The real number field $\mathbb{R}$, the $p$-adic number field $\mathbb{Q}_p$ and local fields

Published on 04 Aug 2022 - 5:02

228

Views

When will two fields have same ramification index over $\mathbb{Q}_p$

Published on 26 Mar 2026 - 22:19

52

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When is the extension $\mathbb{Q}_p\left((-p)^{\frac{2}{n}} \right)$ totally ramified?

Published on 08 Aug 2022 - 12:01

62

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Totally ramified extension with respect to local vs global

Published on 26 Mar 2026 - 22:14

85

Views

Cyclotomic extension, local vs global

Published on 13 Aug 2022 - 5:50

215

Views

Why the semisimplicity of representation is equivalent to the semisimplicity of the element?

Published on 26 Mar 2026 - 21:26

List Question

Inverse image of a p-adic disk under a polynomial

Finite extension of $\mathbb{Q}_p$

How much truth does Hensel's Analogy really hold?

Show irreducibility for Polynomials of degree 4 over p-adic Fields

Is $\Bbb{Z}_p$ or $\Bbb{Z}_p^2$ extension unramified?

Galois group of polynomials over p-adic Fields

How to obtain $\operatorname{Gal}(f\mid \mathbb{Q}_3)=A_3$ or $S_3$?

comparision of the Bruhat-tits tree with lattices in $\mathbb{R}^2$ || request for resources

Show that $x^3-p \in \Bbb{Q}_p[x]$ for $p=2,3$ splits completely or doesnt over $\mathbb{Q}_3$(p^(1/3)) and $\mathbb{Q}_2$(p^(1/3))

The real number field $\mathbb{R}$, the $p$-adic number field $\mathbb{Q}_p$ and local fields

When will two fields have same ramification index over $\mathbb{Q}_p$

When is the extension $\mathbb{Q}_p\left((-p)^{\frac{2}{n}} \right)$ totally ramified?

Totally ramified extension with respect to local vs global

Cyclotomic extension, local vs global

Why the semisimplicity of representation is equivalent to the semisimplicity of the element?

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