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commutator

notion in group theory
Thing binary_operation Q94578760
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commutator

Summary

commutator is a binary operation[1]. commutator draws 1 Wikipedia views per month (binary_operation category, ranking #26 of 29).[2]

Key Facts

  • commutator's instance of is recorded as binary operation[3].
  • commutator's subclass of is recorded as element[4].
  • commutator's part of is recorded as commutator[5].
  • commutator's different from is recorded as commutator[6].
  • commutator's defining formula is recorded as aba^{-1}b^{-1}[7].
  • commutator's Google Knowledge Graph ID is recorded as /g/1hb_fplmf[8].
  • commutator's nLab ID is recorded as group commutator[9].
  • commutator's maintained by WikiProject is recorded as WikiProject Mathematics[10].

Why It Matters

commutator draws 1 Wikipedia views per month (binary_operation category, ranking #26 of 29).[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.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . 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). commutator. Retrieved May 3, 2026, from https://4ort.xyz/entity/commutator-q94578760
MLA “commutator.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/commutator-q94578760.
BibTeX @misc{4ortxyz_commutator-q94578760_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{commutator}}, year = {2026}, url = {https://4ort.xyz/entity/commutator-q94578760}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): commutator — https://4ort.xyz/entity/commutator-q94578760 (retrieved 2026-05-03)

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