Home › Entities › general › nilpotent group

nilpotent group

group that has an upper central series terminating with G
Thing general Q1755242
Press Enter · cited answer in seconds

nilpotent group

Summary

nilpotent group ranks in the top 2% of general entities by monthly Wikipedia readership (62 views/month).[1]

Key Facts

  • nilpotent group is a type of solvable group[2].
  • nilpotent group is a type of metanilpotent group[3].
  • nilpotent group is a type of CN-group[4].
  • nilpotent group's topic's main category is recorded as Category:Nilpotent groups[5].
  • nilpotent group's different from is recorded as nilpotent element[6].
  • nilpotent group's studied by is recorded as group theory[7].
  • nilpotent group's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Recorded subclass of include solvable group[2], metanilpotent group[3], and CN-group[4].

Why It Matters

nilpotent group ranks in the top 2% of general entities by monthly Wikipedia readership (62 views/month).[1] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[9]

References

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

Direct Wikidata claims

  1. [2] ↑ . Representation Theory of Finite Groups and Associative Algebras. math.buffalo.edu. Provenance: wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [9] ↑ . 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). nilpotent group. Retrieved April 10, 2026, from https://4ort.xyz/entity/nilpotent-group
MLA “nilpotent group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/nilpotent-group.
BibTeX @misc{4ortxyz_nilpotent-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{nilpotent group}}, year = {2026}, url = {https://4ort.xyz/entity/nilpotent-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): nilpotent group — https://4ort.xyz/entity/nilpotent-group (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/nilpotent-group · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    Different from → nilpotent element
    Topic's main category → Category:Nilpotent groups
    P14534 → Group.IsNilpotent
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: Group.IsNilpotent, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.