rank of a group

minimal cardinality of a generating set of the group
Thing mathematical_property Q112927
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rank of a group

Summary

rank of a group is a mathematical property[1]. It draws 35 Wikipedia views per month (mathematical_property category, ranking #12 of 26).[2]

Key Facts

  • rank of a group's instance of is recorded as mathematical property[3].
  • rank of a group's instance of is recorded as cardinality[4].
  • rank of a group's Freebase ID is recorded as /m/04gqy36[5].
  • rank of a group's uses is recorded as generating set of a group[6].
  • rank of a group's uses is recorded as cardinality[7].
  • rank of a group's defining formula is recorded as \operatorname{rank}(G)=\min{|S| \colon S \subseteq G, \; \langle S\rangle = G}[8].
  • rank of a group's studied by is recorded as group theory[9].
  • rank of a group's Microsoft Academic ID is recorded as 2779987910[10].
  • rank of a group's in defining formula is recorded as \operatorname{rank}[11].
  • rank of a group's in defining formula is recorded as \min[12].
  • rank of a group's in defining formula is recorded as |{-}|[13].
  • rank of a group's characteristic of is recorded as group[14].

Why It Matters

rank of a group draws 35 Wikipedia views per month (mathematical_property category, ranking #12 of 26).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[15]

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] . Freebase Data Dumps. 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] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] . 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). rank of a group. Retrieved May 3, 2026, from https://4ort.xyz/entity/rank-of-a-group
MLA “rank of a group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/rank-of-a-group.
BibTeX @misc{4ortxyz_rank-of-a-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{rank of a group}}, year = {2026}, url = {https://4ort.xyz/entity/rank-of-a-group}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): rank of a group — https://4ort.xyz/entity/rank-of-a-group (retrieved 2026-05-03)

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