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alternating group

group of even-parity permutations
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alternating group

Summary

alternating group has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • alternating group is a type of finite group[2].
  • alternating group is a type of group[3].
  • alternating group is a type of permutation group[4].
  • alternating group is part of symmetric group[5].
  • alternating group's studied by is recorded as group theory[6].
  • alternating group's has part is recorded as even permutation[7].
  • alternating group's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Recorded subclass of include finite group[2], group[3], and permutation group[4].

Use and Application

alternating group is part of symmetric group[5].

Why It Matters

alternating group has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[1] It is known by 8 alternative names across languages and contexts.[9]

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.

Aggregate / graph-position facts

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

Canonical URL: https://4ort.xyz/entity/alternating-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. 3d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    P14534 → alternatingGroup
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: alternatingGroup, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.