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parity group

smallest nontrivial finite group, whose order is 2
Thing cyclic_group_of_prime_order Q135836
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parity group

Summary

parity group is a cyclic group of prime order[1].

Key Facts

  • parity group's instance of is recorded as cyclic group of prime order[2].
  • parity group's instance of is recorded as symmetric group[3].
  • parity group's instance of is recorded as dihedral group[4].
  • parity group's instance of is recorded as orthogonal group[5].
  • parity group's group cardinality is recorded as {'unit': '1', 'amount': '+2'}[6].
  • parity group's different from is recorded as Z2[7].

Body

Definition and Type

Recorded instance of include cyclic group of prime order[2], symmetric group[3], dihedral group[4], and orthogonal group[5].

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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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). parity group. Retrieved May 3, 2026, from https://4ort.xyz/entity/parity-group
MLA “parity group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/parity-group.
BibTeX @misc{4ortxyz_parity-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{parity group}}, year = {2026}, url = {https://4ort.xyz/entity/parity-group}, note = {Accessed: 2026-05-03}}
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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. 14d ago · Charp238 · 2026-05-20 view diff on Wikidata ↗
    Google knowledge graph id → /g/11dykv17r
    Mathworld id → CyclicGroupC2
    Group cardinality → {'unit': '1', 'amount': '+2'}
    Different from → Z2
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P31]]: [[Q2790210]]"
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