core

largest normal subgroup that is contained in a given subgroup
Place mathematical_term Q3010804
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core

Summary

core is a mathematical term[1]. core draws 27 Wikipedia views per month (mathematical_term category, ranking #25 of 35).[2]

Key Facts

  • core's instance of is recorded as mathematical term[3].
  • core's subclass of is recorded as normal subgroup[4].
  • core's part of is recorded as mathematical terminology[5].
  • core's Freebase ID is recorded as /m/03mgfs[6].
  • core's facet of is recorded as mathematics[7].
  • core's used by is recorded as mathematician[8].
  • core's defining formula is recorded as \mathrm{Core}S(H) = \bigcap{s \in S}{s^{-1}Hs}[9].
  • core's studied by is recorded as group theory[10].
  • core's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • core's Microsoft Academic ID is recorded as 2940105[12].
  • core's in defining formula is recorded as \mathrm{Core}_S(H)[13].
  • core's in defining formula is recorded as \bigcap_{s\in S}[14].
  • core's in defining formula is recorded as s^{-1}Hs[15].

Body

Geography

core's part of is recorded as mathematical terminology[5].

Designation and Status

core's instance of is recorded as mathematical term[3].

Why It Matters

core draws 27 Wikipedia views per month (mathematical_term category, ranking #25 of 35).[2] core is known by 3 alternative names across languages and contexts.[16]

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] . Freebase Data Dumps. 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.
  2. [16] . 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). core. Retrieved May 3, 2026, from https://4ort.xyz/entity/core-q3010804
MLA “core.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/core-q3010804.
BibTeX @misc{4ortxyz_core-q3010804_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{core}}, year = {2026}, url = {https://4ort.xyz/entity/core-q3010804}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): core — https://4ort.xyz/entity/core-q3010804 (retrieved 2026-05-03)

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