List questions from ideal-class-group

Published on 03 Jan 2022 - 23:32

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Calculating integral in order to prove Dirichlet’s class number formula for real quadratic number field

Published on 05 Jan 2022 - 1:24

147

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Elementary Proof that the class number of $\mathbb{Z}[\sqrt{-5}]$ is $2$.

Published on 01 Feb 2022 - 22:02

112

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Ring of integers of cubic number fields

Published on 26 Feb 2022 - 0:57

54

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Divisibility of class number of infinitely many real quadratic fields by a given number $g.$

Published on 04 Jun 2022 - 6:15

44

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Basic questions on Picard group (references)

Published on 25 Mar 2026 - 7:47

188

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Diophantine equation with class group techniques

Published on 26 Jul 2022 - 22:11

64

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A question on Ray class groups and the relative degree of a prime

Published on 14 Aug 2022 - 3:28

128

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Ideals having the same norm as a prime ideal in ring of integers of a number field

Published on 20 Aug 2022 - 12:11

18

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Is there a prime decomposing into order $r$ ideals for every every prime factor $r$ of $h(K)$ in a quadratic number field $K$?

Published on 20 Aug 2022 - 12:41

34

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Brumer theorem about ideal class group

Published on 05 Sep 2022 - 13:32

56

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Ideal class group of $ \Bbb{Z}[ \sqrt{-5}]$

Published on 02 Oct 2022 - 18:31

32

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Question on the proof that if exactly on prime ramifies in a $p$-extension $L/K$, then $p \mid h_L$ implies $p \mid h_K$.

Published on 03 Oct 2022 - 15:37

55

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Janusz Algebraic Number Fields, Exercise 4, Page 19

Published on 28 Oct 2022 - 2:08

120

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Parity of the class number of cyclotomic fields

Published on 25 Nov 2022 - 12:21

List Question

What is the meaning of the ideal class group?

Calculating integral in order to prove Dirichlet’s class number formula for real quadratic number field

Elementary Proof that the class number of $\mathbb{Z}[\sqrt{-5}]$ is $2$.

Ring of integers of cubic number fields

Divisibility of class number of infinitely many real quadratic fields by a given number $g.$

Basic questions on Picard group (references)

Diophantine equation with class group techniques

A question on Ray class groups and the relative degree of a prime

Ideals having the same norm as a prime ideal in ring of integers of a number field

Is there a prime decomposing into order $r$ ideals for every every prime factor $r$ of $h(K)$ in a quadratic number field $K$?

Brumer theorem about ideal class group

Ideal class group of $ \Bbb{Z}[ \sqrt{-5}]$

Question on the proof that if exactly on prime ramifies in a $p$-extension $L/K$, then $p \mid h_L$ implies $p \mid h_K$.

Janusz Algebraic Number Fields, Exercise 4, Page 19

Parity of the class number of cyclotomic fields

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