List questions from class-field-theory

Published on 28 Nov 2013 - 13:58

2.6k

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What do we know about the class group of cyclotomic fields over $\mathbb{Q}$?

Published on 29 Nov 2013 - 3:27

201

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Intersection of class number one fields

Published on 08 Dec 2013 - 21:16

1k

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Hilbert class field of $\mathbb Q(\sqrt{-5})$ and $\mathbb Q(\sqrt{-10})$

Published on 09 Dec 2013 - 6:34

251

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Galois extension of an imaginary quadratic field

Published on 05 Jan 2014 - 5:26

801

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Importance of continuity of Galois representations

Published on 25 Mar 2026 - 23:38

709

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Fields and proper subfields.

Published on 10 Jan 2014 - 7:11

166

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Intersections of all open subsets of finite index in the idele group

Published on 17 Jan 2014 - 22:08

182

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Confusing application of power residue reciprocity in Milne's CFT

Published on 07 Feb 2014 - 14:13

140

Views

$P_{K,1}(\mathfrak m)\subset \operatorname {ker} \Phi_{\mathfrak m,L|K} \subset \operatorname {ker} \Phi_{\mathfrak m,M|K}$ imples $M \subset L$

Published on 10 Feb 2014 - 4:44

730

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class field theory via schemes?

Published on 12 Feb 2014 - 8:52

785

Views

Relationship between intersection and compositum of fields

Published on 13 Feb 2014 - 3:13

274

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Tricks to find the Hilbert Class field of a quadratic extension?

Published on 15 Feb 2014 - 15:34

203

Views

Algorithm to find solutions $(p,x,y)$ for the equation $p=x^2 + ny^2$.

Published on 15 Feb 2014 - 20:28

151

Views

Volume of first cohomology of arithmetic complex

Published on 25 Mar 2026 - 12:17

List Question

$p > 2$ and ramification of archimedean places

What do we know about the class group of cyclotomic fields over $\mathbb{Q}$?

Intersection of class number one fields

Hilbert class field of $\mathbb Q(\sqrt{-5})$ and $\mathbb Q(\sqrt{-10})$

Galois extension of an imaginary quadratic field

Importance of continuity of Galois representations

Fields and proper subfields.

Intersections of all open subsets of finite index in the idele group

Confusing application of power residue reciprocity in Milne's CFT

$P_{K,1}(\mathfrak m)\subset \operatorname {ker} \Phi_{\mathfrak m,L|K} \subset \operatorname {ker} \Phi_{\mathfrak m,M|K}$ imples $M \subset L$

class field theory via schemes?

Relationship between intersection and compositum of fields

Tricks to find the Hilbert Class field of a quadratic extension?

Algorithm to find solutions $(p,x,y)$ for the equation $p=x^2 + ny^2$.

Volume of first cohomology of arithmetic complex

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