Question

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

score 89 · Answer 1 · 2026-05-10 15:01:42

89

Views

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

Published on 10 May 2026 - 15:01

score 1.2k · Answer 2 · 2026-04-11 17:22:07

1.2k

Views

$p$-adic exponential function

Published on 11 Apr 2026 - 17:22

score 70 · Answer 3 · 2026-04-13 23:36:44

70

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 13 Apr 2026 - 23:36

score 73 · Answer 4 · 2026-04-13 18:46:49

73

Views

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

Published on 13 Apr 2026 - 18:46

score 62 · Answer 5 · 2026-05-11 02:50:28

62

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 11 May 2026 - 2:50

score 97 · Answer 6 · 2026-04-16 08:11:00

97

Views

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

Published on 16 Apr 2026 - 8:11

score 136 · Answer 7 · 2026-05-10 16:09:57

136

Views

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

Published on 10 May 2026 - 16:09

score 235 · Answer 8 · 2026-04-10 02:11:40

235

Views

Continuous automorphisms of $\mathbb{C}_p$

Published on 10 Apr 2026 - 2:11

score 185 · Answer 9 · 2026-03-25 16:13:59

185

Views

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

Published on 25 Mar 2026 - 16:13

score 57 · Answer 10 · 2026-04-12 08:19:13

57

Views

On analytic local manifolds

Published on 12 Apr 2026 - 8:19

score 90 · Answer 11 · 2026-04-23 02:46:40

90

Views

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

Published on 23 Apr 2026 - 2:46

score 478 · Answer 12 · 2026-05-10 16:02:19

478

Views

Are we allowed to interchange product and inverse limits?

Published on 10 May 2026 - 16:02

score 414 · Answer 13 · 2026-04-14 03:16:41

414

Views

Why are $p$-adic numbers formal series?

Published on 14 Apr 2026 - 3:16

score 789 · Answer 14 · 2026-04-14 12:53:50

789

Views

Subfields of the $p$-adic numbers

Published on 14 Apr 2026 - 12:53

score 471 · Answer 15 · 2026-04-12 23:50:08

471

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 12 Apr 2026 - 23:50

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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