Question

A question about an exmple of index of ramification

score 59 · Answer 1 · 2020-07-08 11:15:52

59

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A question about an exmple of index of ramification

Published on 08 Jul 2020 - 11:15

score 96 · Answer 2 · 2020-07-13 03:07:48

96

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Explicitly computing the reduction of some quotient over the $5$-adics where both enumerator and denominator have the same positive valuation

Published on 13 Jul 2020 - 3:07

score 40 · Answer 3 · 2020-07-14 10:21:00

40

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Is it true that in general $\operatorname{Gal}(K:\mathbb{Q}_p)\cong\operatorname{Gal}(k:\mathbb{F}_{p^f})$?

Published on 14 Jul 2020 - 10:21

score 99 · Answer 4 · 2020-07-14 10:46:57

99

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Is there a straightforward group homeomorphism between the 2-adic integers and $[0,1)$?

Published on 14 Jul 2020 - 10:46

score 205 · Answer 5 · 2026-03-25 06:02:21

205

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$\mathbb{Z}_p=\varprojlim \mathbb{Z}/p^{n}\mathbb{Z}$ is uncountable.

Published on 25 Mar 2026 - 6:02

score 69 · Answer 6 · 2026-03-28 00:00:11

69

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How many 2-adic integers $x$ satisfy $\lim_{n\to\infty} \sum_{k=0}^n \frac {a_i}n=\log_2(3)$ (modulo addition with eventually zero sequences)?

Published on 28 Mar 2026 - 0:00

score 161 · Answer 7 · 2020-07-17 15:58:29

161

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How to show that $\mathbb{Q}_p(a)=\mathbb{Q}_p(b)$ where $a^p=1$ and $b^{p-1}=-p$?

Published on 17 Jul 2020 - 15:58

score 61 · Answer 8 · 2026-03-26 12:08:25

61

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A 3-adic valuation of $\Bbb Z_2$: Does $\langle3\rangle\cdot\{3x+2^{\nu_2(x)}:x\in\Bbb Z_2\}$ cover $\Bbb Z_2$

Published on 26 Mar 2026 - 12:08

score 67 · Answer 9 · 2020-07-18 23:01:20

67

Views

Describing the coefficients of the 91-th root of unity in $\mathbb{Q}_5(\zeta_3)$

Published on 18 Jul 2020 - 23:01

score 616 · Answer 10 · 2020-07-19 14:35:18

616

Views

$p$-adic Numbers Textbook Suggestions

Published on 19 Jul 2020 - 14:35

score 52 · Answer 11 · 2020-07-19 18:26:57

52

Views

Sequence in $\Bbb Q$ that converges to $0$ under $d_E$ and to $1$ under $d_2$

Published on 19 Jul 2020 - 18:26

score 199 · Answer 12 · 2020-07-22 18:57:30

199

Views

When do $p$-adic and standard convergence coincide?

Published on 22 Jul 2020 - 18:57

score 53 · Answer 13 · 2026-03-26 01:29:00

53

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How to prove that $\mathbb{C}_p$ is not locally compact?

Published on 26 Mar 2026 - 1:29

score 165 · Answer 14 · 2026-03-15 06:30:30

165

Views

Pro-finite completion of p-adic Lie groups

Published on 15 Mar 2026 - 6:30

score 853 · Answer 15 · 2016-07-10 18:02:35

853

Views

p-adic valuation

Published on 10 Jul 2016 - 18:02

List Question

A question about an exmple of index of ramification

Explicitly computing the reduction of some quotient over the $5$-adics where both enumerator and denominator have the same positive valuation

Is it true that in general $\operatorname{Gal}(K:\mathbb{Q}_p)\cong\operatorname{Gal}(k:\mathbb{F}_{p^f})$?

Is there a straightforward group homeomorphism between the 2-adic integers and $[0,1)$?

$\mathbb{Z}_p=\varprojlim \mathbb{Z}/p^{n}\mathbb{Z}$ is uncountable.

How many 2-adic integers $x$ satisfy $\lim_{n\to\infty} \sum_{k=0}^n \frac {a_i}n=\log_2(3)$ (modulo addition with eventually zero sequences)?

How to show that $\mathbb{Q}_p(a)=\mathbb{Q}_p(b)$ where $a^p=1$ and $b^{p-1}=-p$?

A 3-adic valuation of $\Bbb Z_2$: Does $\langle3\rangle\cdot\{3x+2^{\nu_2(x)}:x\in\Bbb Z_2\}$ cover $\Bbb Z_2$

Describing the coefficients of the 91-th root of unity in $\mathbb{Q}_5(\zeta_3)$

$p$-adic Numbers Textbook Suggestions

Sequence in $\Bbb Q$ that converges to $0$ under $d_E$ and to $1$ under $d_2$

When do $p$-adic and standard convergence coincide?

How to prove that $\mathbb{C}_p$ is not locally compact?

Pro-finite completion of p-adic Lie groups

p-adic valuation

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