List questions from class-field-theory

Published on 02 Feb 2017 - 11:42

407

Views

Is there an example of a group $G$ which cannot be a Galois group over $\mathbb{Q}$?

Published on 02 Feb 2017 - 21:06

239

Views

Counting lattice points to get results on prime density?

Published on 08 Feb 2017 - 3:26

130

Views

Quasi-algebraically closed fields reference request

Published on 26 Feb 2017 - 21:50

535

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maximal abelian S-unramified extension of exponent $\ell$.

Published on 05 Mar 2017 - 22:10

204

Views

Is the topology of the p-adic valuation to the unramfied extension discrete?

Published on 26 Mar 2026 - 17:14

578

Views

What are the additive (and multiplicative) continuous characters of $\mathbb{F}_p((x))$?

Published on 14 Mar 2017 - 22:20

370

Views

Hasse invariants under extension of scalars

Published on 24 Mar 2026 - 23:44

201

Views

Is the topology of the p-adic valuation to the unramfied extension complete?

Published on 26 Mar 2026 - 17:14

30

Views

Question on complex multiplication and the Ray class field of imaginary quadratic fields.

Published on 02 Feb 2023 - 5:13

139

Views

Proof of quadratic reciprocity from Artin reciprocity

Published on 25 Mar 2026 - 14:26

458

Views

Even more mysterious sum equaling to $\frac{7(p^2-1)}{24} - h(-p)$ where $p \equiv 3 \pmod{4}$

Published on 15 Feb 2023 - 20:55

34

Views

Splitting of the ring class group of an imaginary quadratic field

Published on 17 Feb 2023 - 15:12

127

Views

Inflation-restriction sequence for profinite groups

Published on 25 Mar 2026 - 23:35

94

Views

Chebotarev's Density Theorem, Equidistribution of Prime Ideals, and Class-Field Theory

Published on 21 Feb 2023 - 17:52

List Question

Classical version and idelic version of class field theory

Is there an example of a group $G$ which cannot be a Galois group over $\mathbb{Q}$?

Counting lattice points to get results on prime density?

Quasi-algebraically closed fields reference request

maximal abelian S-unramified extension of exponent $\ell$.

Is the topology of the p-adic valuation to the unramfied extension discrete?

What are the additive (and multiplicative) continuous characters of $\mathbb{F}_p((x))$?

Hasse invariants under extension of scalars

Is the topology of the p-adic valuation to the unramfied extension complete?

Question on complex multiplication and the Ray class field of imaginary quadratic fields.

Proof of quadratic reciprocity from Artin reciprocity

Even more mysterious sum equaling to $\frac{7(p^2-1)}{24} - h(-p)$ where $p \equiv 3 \pmod{4}$

Splitting of the ring class group of an imaginary quadratic field

Inflation-restriction sequence for profinite groups

Chebotarev's Density Theorem, Equidistribution of Prime Ideals, and Class-Field Theory

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