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holomorph of a group

semidirect product of a group with its automorphism group
Thing general Q3139500
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holomorph of a group

Summary

holomorph of a group ranks in the top 2% of general entities by monthly Wikipedia readership (16 views/month).[1]

Key Facts

  • holomorph of a group's subclass of is recorded as group[2].
  • holomorph of a group's subclass of is recorded as semidirect product[3].
  • holomorph of a group's Freebase ID is recorded as /m/08653s[4].
  • holomorph of a group's defining formula is recorded as G\rtimes\operatorname{Aut}(G)[5].
  • holomorph of a group's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • holomorph of a group's Microsoft Academic ID is recorded as 111844967[7].
  • holomorph of a group's in defining formula is recorded as \rtimes[8].
  • holomorph of a group's in defining formula is recorded as \operatorname{Aut}(-)[9].

Why It Matters

holomorph of a group ranks in the top 2% of general entities by monthly Wikipedia readership (16 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10]

References

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

Direct Wikidata claims

  1. [2] ↑ . 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.
  8. [9] ↑ . wikidata.org.

Aggregate / graph-position facts

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

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