List questions from class-field-theory

Published on 07 Oct 2018 - 8:38

47

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Reference book/ Notes/ articles for p rank

Published on 10 Oct 2018 - 12:31

142

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Examples of unramified abelian extensions of $\mathbb{Q}[i]$

Published on 12 Oct 2018 - 16:22

165

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Inclusion between norm groups in the idèle class group

Published on 14 Mar 2026 - 13:21

180

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The local invariant map is a group homomorphism

Published on 22 Mar 2026 - 19:17

218

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Writting Legendre Symbol as an element of group cohomology of $\mathbb{Q}$

Published on 25 Mar 2026 - 17:06

176

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Why is $F(u^{1/e})/F$ unramified?

Published on 29 Oct 2018 - 11:55

433

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If $p\equiv1\pmod{4}$, do we have $\sqrt{p}\in\mathbb{Q}(\zeta_p)$?

Published on 25 Mar 2026 - 1:17

177

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Class field theory(Generalization to infinite extension)-Neukirch(General reciprocity law)

Published on 12 Nov 2018 - 1:06

221

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What does $(a,b)_{\zeta}$ correspond to in $\mathrm{Br}(\mathbb{Q}_p)=\mathbb{Q}/\mathbb{Z}$

Published on 25 Mar 2026 - 7:43

40

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Is a "local enough" class number always equal to one?

Published on 26 Nov 2018 - 7:06

200

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p-th powers in p-adic field

Published on 27 Nov 2018 - 22:52

192

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Upper bound for class number of field

Published on 04 Dec 2018 - 2:04

203

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Understanding problem in Milne's notes on class field theory

Published on 24 Mar 2026 - 23:43

45

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Field Extension $k(t^{1/n})/k(t)$ Cyclic

Published on 10 Dec 2018 - 1:05

List Question

Neukirch ANT - proving reciprocity map is multiplicative

Reference book/ Notes/ articles for p rank

Examples of unramified abelian extensions of $\mathbb{Q}[i]$

Inclusion between norm groups in the idèle class group

The local invariant map is a group homomorphism

Writting Legendre Symbol as an element of group cohomology of $\mathbb{Q}$

Why is $F(u^{1/e})/F$ unramified?

If $p\equiv1\pmod{4}$, do we have $\sqrt{p}\in\mathbb{Q}(\zeta_p)$?

Class field theory(Generalization to infinite extension)-Neukirch(General reciprocity law)

What does $(a,b)_{\zeta}$ correspond to in $\mathrm{Br}(\mathbb{Q}_p)=\mathbb{Q}/\mathbb{Z}$

Is a "local enough" class number always equal to one?

p-th powers in p-adic field

Upper bound for class number of field

Understanding problem in Milne's notes on class field theory

Field Extension $k(t^{1/n})/k(t)$ Cyclic

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