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center

the set of elements that commute with every element of a group
Class type of: central subgroup Q1195852

Facts

5 properties

Identity

Instance of
mathematical term
More facts +4
Subclass of
central subgroup[2]
Defining formula
\operatorname Z(G) = \{g\in G|\forall h\in G\colon gh=hg\}[3]
In defining formula
G, \operatorname Z(-), \{|\}[5][6][7]
Maintained by WikiProject
WikiProject Mathematics[4]
🏷️ Also known as
en center en group centre en group center en centre cs centrum grupy da centrum de Zentrum einer Gruppe de Zentrum el κέντρο en-gb group centre en-gb centre of a group es centro de un grupo fa مرکز fr centre d’un groupe he מרכז של חבורה he מרכז it centro it centro di un gruppo ja 二次の中心 ja 群の中心
🔖 Identifiers · 9
Image (Wikimedia Commons)
Center of Dihedral group of order 8 subgroup of S4.svg ↗
Encyclopedia of Mathematics article ID
Centre_of_a_group
Freebase ID
/m/02106
Group Properties article ID
Center
MathWorld ID
GroupCenter
Metamath statement ID
df-cntr
Microsoft Academic ID (discontinued)
85613324
PlanetMath ID
CenterOfAGroup
ProofWiki ID
Definition:Center_(Abstract_Algebra)/Group

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🔗 Connections
Maintained by WikiProject 1
WikiProject Mathematics
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Summary

center is a mathematical term[1].

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). center. Retrieved November 6, 2026, from https://4ort.xyz/entity/center-q1195852
MLA “center.” 4ort.xyz Knowledge Graph, 4ort.xyz, 6 Nov. 2026, https://4ort.xyz/entity/center-q1195852.
BibTeX @misc{4ortxyz_center-q1195852_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{center}}, year = {2026}, url = {https://4ort.xyz/entity/center-q1195852}, note = {Accessed: 2026-11-06}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): center — https://4ort.xyz/entity/center-q1195852 (retrieved 2026-11-06)

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