Pauli group

the 16-element group generated by the Pauli matrices; a central product of the dihedral group of order 8 and the cyclic group of order 4
Thing finite_group Q7154882
Press Enter · cited answer in seconds

Pauli group

Summary

Pauli group is a finite group[1]. It draws 13 Wikipedia views per month (finite_group category, ranking #3 of 3).[2]

Key Facts

  • Pauli group's instance of is recorded as finite group[3].
  • Pauli group's instance of is recorded as central product[4].
  • Pauli group's Freebase ID is recorded as /m/0d0b0f[5].
  • Pauli group's group cardinality is recorded as {'unit': '1', 'amount': '+16'}[6].
  • Pauli group's defining formula is recorded as {\pm1,\pm\mathrm i,\pm\sigma_1,\pm\mathrm i\sigma_1,\pm\sigma_2,\pm\mathrm i\sigma_2\pm\sigma_3,\pm\mathrm i\sigma_3}\cong(Z_4\times Z_2)\rtimes Z_2[7].
  • Pauli group's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Pauli group's Microsoft Academic ID is recorded as 2781040351[9].
  • Pauli group's in defining formula is recorded as \mathrm i[10].
  • Pauli group's in defining formula is recorded as \sigma_i[11].
  • Pauli group's in defining formula is recorded as Z_2[12].
  • Pauli group's in defining formula is recorded as Z_4[13].
  • Pauli group's in defining formula is recorded as 1[14].
  • Pauli group's ScienceDirect topic ID is recorded as mathematics/pauli-group[15].

Why It Matters

Pauli group draws 13 Wikipedia views per month (finite_group category, ranking #3 of 3).[2]

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] . 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.
  13. [15] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

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

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