trivial group

group with one element
Thing finite_cyclic_group Q568687
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trivial group

Summary

trivial group is a finite cyclic group[1]. It draws 39 Wikipedia views per month (finite_cyclic_group category, ranking #1 of 1).[2]

Key Facts

  • trivial group's instance of is recorded as finite cyclic group[3].
  • trivial group's instance of is recorded as null semigroup[4].
  • trivial group's instance of is recorded as left zero semigroup[5].
  • trivial group's instance of is recorded as right zero semigroup[6].
  • trivial group's instance of is recorded as semilattice[7].
  • trivial group's instance of is recorded as special unitary group[8].
  • trivial group's instance of is recorded as trivial algebraic structure[9].
  • trivial group's part of is recorded as category of groups[10].
  • trivial group's said to be the same as is recorded as trivial semigroup[11].
  • trivial group's Freebase ID is recorded as /m/01bd_8[12].
  • trivial group's group cardinality is recorded as {'amount': '+1'}[13].
  • trivial group's has characteristic is recorded as rank of a group[14].
  • trivial group's has characteristic is recorded as triviality[15].
  • trivial group's studied by is recorded as group theory[16].
  • trivial group's MathWorld ID is recorded as TrivialGroup[17].
  • trivial group's nLab ID is recorded as trivial group[18].
  • trivial group's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • trivial group's Microsoft Academic ID is recorded as 53274811[20].
  • trivial group's ProofWiki ID is recorded as Definition:Trivial_Group[21].
  • trivial group's Group Properties article ID is recorded as Trivial_group[22].
  • trivial group's SmallGroup ID is recorded as 1,1[23].
  • trivial group's ScienceDirect topic ID is recorded as mathematics/trivial-group[24].
  • trivial group's underlying structure is recorded as singleton[25].

Why It Matters

trivial group draws 39 Wikipedia views per month (finite_cyclic_group category, ranking #1 of 1).[2] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[26]

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.
  9. [11] . wikidata.org.
  10. [12] . Freebase Data Dumps. wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.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). trivial group. Retrieved May 3, 2026, from https://4ort.xyz/entity/trivial-group
MLA “trivial group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/trivial-group.
BibTeX @misc{4ortxyz_trivial-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{trivial group}}, year = {2026}, url = {https://4ort.xyz/entity/trivial-group}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): trivial group — https://4ort.xyz/entity/trivial-group (retrieved 2026-05-03)

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