Question

Relation between separable algebraic closure and the maximal abelian extension

score 83 · Answer 1 · 2022-02-12 09:41:29

83

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Relation between separable algebraic closure and the maximal abelian extension

Published on 12 Feb 2022 - 9:41

score 280 · Answer 2 · 2026-03-27 07:50:47

280

Views

Ramified extension of local field which is not Galois

Published on 27 Mar 2026 - 7:50

score 36 · Answer 3 · 2022-03-03 11:22:37

36

Views

Degree of the maximal $p$-extension inside the ring class field of conductor $p^{\alpha+1}$

Published on 03 Mar 2022 - 11:22

score 77 · Answer 4 · 2022-03-07 12:05:42

77

Views

Roots of unity inside ring class fields of an imaginary quadratic field $K$ always contained in $K(\mu_{12})$?

Published on 07 Mar 2022 - 12:05

score 69 · Answer 5 · 2022-03-18 12:32:53

69

Views

Which $\Bbb{Z}_p-$ extension satisfies assumption of Washington's book Prop13.22?

Published on 18 Mar 2022 - 12:32

score 145 · Answer 6 · 2022-03-21 21:46:38

145

Views

Brauer group of maximal abelian extension of rationals

Published on 21 Mar 2022 - 21:46

score 145 · Answer 7 · 2022-03-25 08:31:03

145

Views

Is the Hilbert symbol non-degenerate over $\mathbb{Q}$?

Published on 25 Mar 2022 - 8:31

score 106 · Answer 8 · 2026-03-25 11:11:55

106

Views

Lang's proof concerning ray class fields of imaginary quadratic number fields

Published on 25 Mar 2026 - 11:11

score 59 · Answer 9 · 2026-03-25 09:51:15

59

Views

Let $\Bbb{Q}_p⊆L_0⊆L$, where $L$ is extension of $\Bbb{Q}_p$ and $L_0$ be maximal unramified sub extension of $L/\Bbb{Q}_p$.

Published on 25 Mar 2026 - 9:51

score 43 · Answer 10 · 2022-04-25 01:31:45

43

Views

Existence of infinite chain of $p$-th roots of elements implies trivial group

Published on 25 Apr 2022 - 1:31

score 99 · Answer 11 · 2026-03-25 06:07:11

99

Views

All formal group has Frobenius power series as homomorphisms?(Lubin Tate theory)

Published on 25 Mar 2026 - 6:07

score 86 · Answer 12 · 2022-04-28 05:10:38

86

Views

Certain Set of Smooth Conics is Finite

Published on 28 Apr 2022 - 5:10

score 36 · Answer 13 · 2022-05-02 05:37:59

36

Views

Number of unramified extension of f $ \Bbb{Q}_p$ of given degree is $1$, correct?

Published on 02 May 2022 - 5:37

score 53 · Answer 14 · 2022-05-09 17:11:25

53

Views

Two seemingly different totally ramified extension,$ \Bbb{Q}_p(ζ_{p^n})$ and $\Bbb{Q}_p(p^{1/n})$

Published on 09 May 2022 - 17:11

score 89 · Answer 15 · 2026-03-27 17:24:24

89

Views

Applications of the Tate-Shafarevich group in class field theory

Published on 27 Mar 2026 - 17:24

List Question

Relation between separable algebraic closure and the maximal abelian extension

Ramified extension of local field which is not Galois

Degree of the maximal $p$-extension inside the ring class field of conductor $p^{\alpha+1}$

Roots of unity inside ring class fields of an imaginary quadratic field $K$ always contained in $K(\mu_{12})$?

Which $\Bbb{Z}_p-$ extension satisfies assumption of Washington's book Prop13.22?

Brauer group of maximal abelian extension of rationals

Is the Hilbert symbol non-degenerate over $\mathbb{Q}$?

Lang's proof concerning ray class fields of imaginary quadratic number fields

Let $\Bbb{Q}_p⊆L_0⊆L$, where $L$ is extension of $\Bbb{Q}_p$ and $L_0$ be maximal unramified sub extension of $L/\Bbb{Q}_p$.

Existence of infinite chain of $p$-th roots of elements implies trivial group

All formal group has Frobenius power series as homomorphisms?(Lubin Tate theory)

Certain Set of Smooth Conics is Finite

Number of unramified extension of f $ \Bbb{Q}_p$ of given degree is $1$, correct?

Two seemingly different totally ramified extension,$ \Bbb{Q}_p(ζ_{p^n})$ and $\Bbb{Q}_p(p^{1/n})$

Applications of the Tate-Shafarevich group in class field theory

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