Question

Totally ramified extension of $\mathbb{Q}_{p}$ which is not of a form $\mathbb{Q}_{p}(\sqrt[n]{pu})$

score 1k · Answer 1 · 2019-04-21 00:00:49

1k

Views

Totally ramified extension of $\mathbb{Q}_{p}$ which is not of a form $\mathbb{Q}_{p}(\sqrt[n]{pu})$

Published on 21 Apr 2019 - 0:00

score 199 · Answer 2 · 2026-03-25 20:39:56

199

Views

solving a $p$-adic integration involving maximum function

Published on 25 Mar 2026 - 20:39

score 760 · Answer 3 · 2026-03-25 07:44:46

760

Views

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

Published on 25 Mar 2026 - 7:44

score 329 · Answer 4 · 2019-04-22 05:08:20

329

Views

degree extension over field of $p$-adic numbers

Published on 22 Apr 2019 - 5:08

score 918 · Answer 5 · 2026-03-25 04:43:55

918

Views

The multiplicative group of units in $\mathbb{Z}_{p}$ is isomorphic to $\mathbb{Z}_{p} \times C_{n}$ with $n=\max\{p-1,2\}$.

Published on 25 Mar 2026 - 4:43

score 55 · Answer 6 · 2019-05-02 14:41:04

55

Views

Please help me solve this number theory question.

Published on 02 May 2019 - 14:41

score 86 · Answer 7 · 2026-03-25 07:43:58

86

Views

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

Published on 25 Mar 2026 - 7:43

score 93 · Answer 8 · 2019-05-04 11:45:59

93

Views

tamely totally ramified extensions and the equation $x^e-pu=0$

Published on 04 May 2019 - 11:45

score 198 · Answer 9 · 2019-05-06 04:03:07

198

Views

Notation in $p$-adic integers

Published on 06 May 2019 - 4:03

score 160 · Answer 10 · 2019-05-06 06:41:47

160

Views

All numbers close enough to 1 are squares

Published on 06 May 2019 - 6:41

score 37 · Answer 11 · 2026-03-26 01:34:40

37

Views

Is $\overline{\langle2\rangle\cdot(4\Bbb Z+1)}=\langle2\rangle\cdot(4\Bbb Z_2+1)$ in $\Bbb Z_2$?

Published on 26 Mar 2026 - 1:34

score 66 · Answer 12 · 2026-03-25 06:27:18

66

Views

Injection of $\mathbb{Z}$ into a p-adically complete abelian group

Published on 25 Mar 2026 - 6:27

score 338 · Answer 13 · 2026-03-25 12:20:38

338

Views

What is the sequence of accumulation points in the 2-adic space, of the Collatz graph?

Published on 25 Mar 2026 - 12:20

score 65 · Answer 14 · 2026-03-25 16:02:54

65

Views

Why does the image of $ord_p$ form an additive subgroup of $(1/n)\mathbb Z$?

Published on 25 Mar 2026 - 16:02

score 90 · Answer 15 · 2019-05-14 10:58:24

90

Views

Is a singleton in a p-adic space connected?

Published on 14 May 2019 - 10:58

List Question

Totally ramified extension of $\mathbb{Q}_{p}$ which is not of a form $\mathbb{Q}_{p}(\sqrt[n]{pu})$

solving a $p$-adic integration involving maximum function

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

degree extension over field of $p$-adic numbers

The multiplicative group of units in $\mathbb{Z}_{p}$ is isomorphic to $\mathbb{Z}_{p} \times C_{n}$ with $n=\max\{p-1,2\}$.

Please help me solve this number theory question.

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

tamely totally ramified extensions and the equation $x^e-pu=0$

Notation in $p$-adic integers

All numbers close enough to 1 are squares

Is $\overline{\langle2\rangle\cdot(4\Bbb Z+1)}=\langle2\rangle\cdot(4\Bbb Z_2+1)$ in $\Bbb Z_2$?

Injection of $\mathbb{Z}$ into a p-adically complete abelian group

What is the sequence of accumulation points in the 2-adic space, of the Collatz graph?

Why does the image of $ord_p$ form an additive subgroup of $(1/n)\mathbb Z$?

Is a singleton in a p-adic space connected?

Trending Questions

Popular # Hahtags

Popular Questions