Question

Is $\mathbb{Z}_p[\omega]$ profinite when $\omega$ is a primitive $p$-root of unity?

score 88 · Answer 1 · 2026-03-24 23:45:46

88

Views

Is $\mathbb{Z}_p[\omega]$ profinite when $\omega$ is a primitive $p$-root of unity?

Published on 24 Mar 2026 - 23:45

score 1.2k · Answer 2 · 2018-08-04 00:04:51

1.2k

Views

$p$-adic exponential function

Published on 04 Aug 2018 - 0:04

score 67 · Answer 3 · 2018-08-05 18:23:10

67

Views

What sequences in $\Bbb Z[\frac16]$ converge to the fixed point $0$ in $\lvert\cdot\rvert_2$ while being fixed in $\lvert \cdot\rvert_3$?

Published on 05 Aug 2018 - 18:23

score 70 · Answer 4 · 2018-08-06 11:56:15

70

Views

Must continuous surjection $f:\Bbb Z[\frac16]\to\Bbb Z[\frac16]$, fixed in $\lvert\cdot\rvert_3$, stabilise to approach $0$?

Published on 06 Aug 2018 - 11:56

score 58 · Answer 5 · 2018-08-12 16:43:36

58

Views

Is the group generated by $f(x)= x+2^{\nu_2(2x)}$ and $g(x)=2x$ a 2-dimensional affine space on $\Bbb Z[\frac12]\setminus 0$?

Published on 12 Aug 2018 - 16:43

score 94 · Answer 6 · 2018-08-13 12:03:34

94

Views

Show that the ramification of the extension index is $ \ (p-1) \ $

Published on 13 Aug 2018 - 12:03

score 132 · Answer 7 · 2026-03-25 01:35:27

132

Views

Solving equations in $\mathbb{Z}/p\mathbb{Z}$ versus $\mathbb{Q}_p$.

Published on 25 Mar 2026 - 1:35

score 234 · Answer 8 · 2026-03-25 12:22:33

234

Views

Continuous automorphisms of $\mathbb{C}_p$

Published on 25 Mar 2026 - 12:22

score 184 · Answer 9 · 2026-03-22 16:44:38

184

Views

What's remarkable about this transfer of structure from $\Bbb Z[\frac12]$ to $\Bbb C$?

Published on 22 Mar 2026 - 16:44

score 54 · Answer 10 · 2018-08-20 18:11:06

54

Views

On analytic local manifolds

Published on 20 Aug 2018 - 18:11

score 86 · Answer 11 · 2026-03-25 05:54:57

86

Views

Consider the p-adic field $ \ \mathbb{Q}_p \ $ . Define $ \operatorname{ord}_p(x) \ $ to be the p-adic valuation of $ \ x \ $

Published on 25 Mar 2026 - 5:54

score 474 · Answer 12 · 2026-03-25 01:16:59

474

Views

Are we allowed to interchange product and inverse limits?

Published on 25 Mar 2026 - 1:16

score 412 · Answer 13 · 2018-08-24 20:12:30

412

Views

Why are $p$-adic numbers formal series?

Published on 24 Aug 2018 - 20:12

score 786 · Answer 14 · 2018-08-25 08:51:33

786

Views

Subfields of the $p$-adic numbers

Published on 25 Aug 2018 - 8:51

score 468 · Answer 15 · 2018-08-27 11:53:13

468

Views

Is there a good criterion to determine if a polynomial with integer or rational coefficients is irreducible over the field of p-adic numbers?

Published on 27 Aug 2018 - 11:53

List Question

Is $\mathbb{Z}_p[\omega]$ profinite when $\omega$ is a primitive $p$-root of unity?

$p$-adic exponential function

What sequences in $\Bbb Z[\frac16]$ converge to the fixed point $0$ in $\lvert\cdot\rvert_2$ while being fixed in $\lvert \cdot\rvert_3$?

Must continuous surjection $f:\Bbb Z[\frac16]\to\Bbb Z[\frac16]$, fixed in $\lvert\cdot\rvert_3$, stabilise to approach $0$?

Is the group generated by $f(x)= x+2^{\nu_2(2x)}$ and $g(x)=2x$ a 2-dimensional affine space on $\Bbb Z[\frac12]\setminus 0$?

Show that the ramification of the extension index is $ \ (p-1) \ $

Solving equations in $\mathbb{Z}/p\mathbb{Z}$ versus $\mathbb{Q}_p$.

Continuous automorphisms of $\mathbb{C}_p$

What's remarkable about this transfer of structure from $\Bbb Z[\frac12]$ to $\Bbb C$?

On analytic local manifolds

Consider the p-adic field $ \ \mathbb{Q}_p \ $ . Define $ \operatorname{ord}_p(x) \ $ to be the p-adic valuation of $ \ x \ $

Are we allowed to interchange product and inverse limits?

Why are $p$-adic numbers formal series?

Subfields of the $p$-adic numbers

Is there a good criterion to determine if a polynomial with integer or rational coefficients is irreducible over the field of p-adic numbers?

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