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character group

group of group homomorphisms from a group into the multiplication group of nonzero elements of a field
Thing general Q2720844
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character group

Summary

character group ranks in the top 2% of general entities by monthly Wikipedia readership (33 views/month).[1]

Key Facts

  • character group's subclass of is recorded as abelian group[2].
  • character group's Freebase ID is recorded as /m/04y9g9[3].
  • character group's different from is recorded as character of a group representation[4].
  • character group's different from is recorded as multiplicative character[5].
  • character group's defining formula is recorded as \hat G = \hom_{\operatorname{Grp}}(G, K^\times)[6].
  • character group's has part is recorded as multiplicative character[7].
  • character group's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • character group's Microsoft Academic ID is recorded as 196713414[9].

Why It Matters

character group ranks in the top 2% of general entities by monthly Wikipedia readership (33 views/month).[1] It is known by 5 alternative names across languages and contexts.[10]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . Freebase Data Dumps. wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . 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). character group. Retrieved April 10, 2026, from https://4ort.xyz/entity/character-group
MLA “character group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/character-group.
BibTeX @misc{4ortxyz_character-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{character group}}, year = {2026}, url = {https://4ort.xyz/entity/character-group}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): character group — https://4ort.xyz/entity/character-group (retrieved 2026-04-10)

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