List questions from class-field-theory

Published on 19 May 2015 - 20:41

42

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Why is $m \infty$ the conductor of $K = \mathbb{Q}(\zeta_m)/\mathbb{Q}$?

Published on 23 May 2015 - 16:50

581

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Which properties determine the uniqueness of the local Artin map?

Published on 26 Mar 2026 - 14:20

81

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Can we find the 18 imaginary quadratic ffields with class number 2 algorithmically?

Published on 26 May 2015 - 23:39

96

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Maximal p-subgroup of inertia group.

Published on 30 May 2015 - 17:27

237

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Hasse invariant of quaternions over $\mathbb{Q}_p$

Published on 31 May 2015 - 13:32

1.2k

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Difference between the Artin symbol and the Frobenius element?

Published on 02 Jun 2015 - 9:58

581

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Relatives of Heegner numbers?

Published on 02 Jun 2015 - 17:26

294

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Show an intersection of Galois groups is trivial

Published on 05 Jun 2015 - 4:37

302

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Blichfeldt-Minkowski Lemma

Published on 11 Jun 2015 - 22:56

109

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The class number and the inverse Galois problem

Published on 13 Jun 2015 - 21:18

267

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On the solvability of the negative Pell equation $x^2-2py^2 = -1$

Published on 16 Jun 2015 - 15:14

51

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$K_S$ modulo $K_S^n$, where $K_S$ is the group of $S$-units

Published on 28 Jun 2015 - 23:31

138

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What does Lang mean here by "the usual criterion"?

Published on 29 Jun 2015 - 19:04

896

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Quadratic field, $O_K/\mathfrak{p} = \mathbb{F}_p$, $O_K/pO_K$ is a finite field of order $p^2$.

Published on 03 Jul 2015 - 6:15

List Question

Serge Lang ANT Theorem 7 p. 148

Why is $m \infty$ the conductor of $K = \mathbb{Q}(\zeta_m)/\mathbb{Q}$?

Which properties determine the uniqueness of the local Artin map?

Can we find the 18 imaginary quadratic ffields with class number 2 algorithmically?

Maximal p-subgroup of inertia group.

Hasse invariant of quaternions over $\mathbb{Q}_p$

Difference between the Artin symbol and the Frobenius element?

Relatives of Heegner numbers?

Show an intersection of Galois groups is trivial

Blichfeldt-Minkowski Lemma

The class number and the inverse Galois problem

On the solvability of the negative Pell equation $x^2-2py^2 = -1$

$K_S$ modulo $K_S^n$, where $K_S$ is the group of $S$-units

What does Lang mean here by "the usual criterion"?

Quadratic field, $O_K/\mathfrak{p} = \mathbb{F}_p$, $O_K/pO_K$ is a finite field of order $p^2$.

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