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Jørgensen's inequality

inequality involving the traces of elements of a Kleinian group
Intangible theorem Q6321608
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Jørgensen's inequality

Summary

Jørgensen's inequality is a theorem[1]. It draws 1 Wikipedia views per month (theorem category, ranking #276 of 1,306).[2]

Key Facts

  • Jørgensen's inequality's instance of is recorded as theorem[3].
  • Jørgensen's inequality's instance of is recorded as inequality[4].
  • Jørgensen's inequality's Freebase ID is recorded as /m/0gg8xm_[5].
  • Jørgensen's inequality's defining formula is recorded as |\text{Tr}(A)^2 -4| + |\text{Tr}(ABA^{-1}B^{-1})-2|\ge 1[6].
  • Jørgensen's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Why It Matters

Jørgensen's inequality draws 1 Wikipedia views per month (theorem category, ranking #276 of 1,306).[2]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.

📑 Cite this page

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). Jørgensen's inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/j-rgensen-s-inequality
MLA “Jørgensen's inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/j-rgensen-s-inequality.
BibTeX @misc{4ortxyz_j-rgensen-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Jørgensen's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/j-rgensen-s-inequality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Jørgensen's inequality — https://4ort.xyz/entity/j-rgensen-s-inequality (retrieved 2026-05-03)

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