central extension

group extension by a group that is a central subgroup of the extended group
Thing general Q114145344
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central extension

Summary

central extension ranks in the top 2% of general entities by monthly Wikipedia readership (10 views/month).[1]

Key Facts

  • central extension's subclass of is recorded as group extension[2].
  • central extension's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/central-extensions[3].
  • central extension's defining formula is recorded as \begin{aligned}1\to A\to H\to G\to 1\ A\subset\operatorname Z(H)\end{aligned}[4].
  • central extension's studied by is recorded as group theory[5].
  • central extension's nLab ID is recorded as central extension[6].
  • central extension's in defining formula is recorded as 1\to A\to H\to G\to1[7].
  • central extension's in defining formula is recorded as \operatorname Z[8].
  • central extension's in defining formula is recorded as A[9].
  • central extension's Group Properties article ID is recorded as Central_extension[10].
  • central extension's ScienceDirect topic ID is recorded as mathematics/central-extension[11].

Why It Matters

central extension ranks in the top 2% of general entities by monthly Wikipedia readership (10 views/month).[1] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[12]

📑 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). central extension. Retrieved April 10, 2026, from https://4ort.xyz/entity/central-extension
MLA “central extension.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/central-extension.
BibTeX @misc{4ortxyz_central-extension_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{central extension}}, year = {2026}, url = {https://4ort.xyz/entity/central-extension}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): central extension — https://4ort.xyz/entity/central-extension (retrieved 2026-04-10)

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