List questions from ideal-class-group

Published on 14 Feb 2024 - 14:17

35

Views

(Reference request) List of (isomorphism classes of) ideal class groups of $\mathbb{Q}(\sqrt{d})$.

Published on 23 Mar 2026 - 9:20

573

Views

$\mathbb{Q}(\sqrt[3]{17})$ has class number $1$

Published on 10 Jan 2016 - 21:37

68

Views

Property of multiplication of ideals in $\mathcal{O}_K$

Published on 24 Mar 2026 - 21:52

167

Views

Ramification of primes under cetain conditions

Published on 16 Feb 2016 - 0:51

688

Views

Computing the Picard group of Number Fields in analogy with genus $0$ curves

Published on 24 Mar 2026 - 21:51

499

Views

Computing ideal class group by other means than the Minkowski bound?

Published on 12 May 2016 - 15:55

127

Views

Representative of the $2$-Sylow subgroup of an ideal class group

Published on 09 Mar 2026 - 5:59

100

Views

Relating the class number of a field, and of its normal closure

Published on 23 Mar 2026 - 10:05

175

Views

Lower bound for cardinality of class group

Published on 24 May 2017 - 6:02

129

Views

Reference request - Lattices for studying number fields

Published on 06 Jul 2017 - 9:41

450

Views

Conditions for when a class is a square in the ideal class group of a quadratic field.

Published on 06 Aug 2017 - 21:51

73

Views

divisibility of class numbers of composite two abelian number fields

Published on 07 Sep 2017 - 8:33

56

Views

Is the ratio of the norms of generators in an ideal well defined?

Published on 21 Sep 2017 - 15:25

107

Views

Example of principal ideals in the Class Group

Published on 02 Oct 2017 - 8:06

List Question

Calculation of the Picard group and the class group

(Reference request) List of (isomorphism classes of) ideal class groups of $\mathbb{Q}(\sqrt{d})$.

$\mathbb{Q}(\sqrt[3]{17})$ has class number $1$

Property of multiplication of ideals in $\mathcal{O}_K$

Ramification of primes under cetain conditions

Computing the Picard group of Number Fields in analogy with genus $0$ curves

Computing ideal class group by other means than the Minkowski bound?

Representative of the $2$-Sylow subgroup of an ideal class group

Relating the class number of a field, and of its normal closure

Lower bound for cardinality of class group

Reference request - Lattices for studying number fields

Conditions for when a class is a square in the ideal class group of a quadratic field.

divisibility of class numbers of composite two abelian number fields

Is the ratio of the norms of generators in an ideal well defined?

Example of principal ideals in the Class Group

Trending Questions

Popular # Hahtags

Popular Questions