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Hilbert class field

maximal abelian unramified extension of a number field
Intangible mathematical_concept Q2916820

Facts

3 properties
Instance of
mathematical concept
Maintained by WikiProject
WikiProject Mathematics[3]
Named after
David Hilbert[2]
🏷️ Also known as
en Hilbert class field el Σώμα κλάσεων Χίλμπερτ fi Hilbertin luokkakunta fr Corps de Hilbert fr corps de classes de Hilbert he שדה המחלקה של הילברט ja ヒルベルト類体 zh 希爾伯特類域
🔖 Identifiers · 3
Freebase ID
/m/08l12f
MathWorld ID
HilbertClassField
Microsoft Academic ID (discontinued)
2776947507

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🔗 Connections
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
David Hilbert
← Interested in 1
Claude Chevalley
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Summary

Hilbert class field is a mathematical concept[1].

Related Entities

David Hilbert

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Hilbert class field. Retrieved November 5, 2026, from https://4ort.xyz/entity/hilbert-class-field
MLA “Hilbert class field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 5 Nov. 2026, https://4ort.xyz/entity/hilbert-class-field.
BibTeX @misc{4ortxyz_hilbert-class-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hilbert class field}}, year = {2026}, url = {https://4ort.xyz/entity/hilbert-class-field}, note = {Accessed: 2026-11-05}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hilbert class field — https://4ort.xyz/entity/hilbert-class-field (retrieved 2026-11-05)

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