Maschke's theorem

theorem that a representation of a finite group over a field with characteristic not dividing the order of the group decomposes as a direct sum of irreducible representations
Intangible theorem Q656198
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Maschke's theorem

Summary

Maschke's theorem is a theorem[1]. It draws 72 Wikipedia views per month (theorem category, ranking #220 of 1,306).[2]

Key Facts

  • Maschke's theorem's instance of is recorded as theorem[3].
  • Heinrich Maschke is named after Maschke's theorem[4].
  • Maschke's theorem's part of is recorded as list of theorems[5].
  • Maschke's theorem's Freebase ID is recorded as /m/02ryvg[6].
  • Maschke's theorem's studied by is recorded as representation theory[7].
  • Maschke's theorem's MathWorld ID is recorded as MaschkesTheorem[8].
  • Maschke's theorem's nLab ID is recorded as Maschke's theorem[9].
  • Maschke's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Maschke's theorem's Microsoft Academic ID is recorded as 59046562[11].
  • Maschke's theorem's Group Properties article ID is recorded as Maschke's_averaging_lemma[12].

Why It Matters

Maschke's theorem draws 72 Wikipedia views per month (theorem category, ranking #220 of 1,306).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[13]

📑 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). Maschke's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/maschke-s-theorem
MLA “Maschke's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/maschke-s-theorem.
BibTeX @misc{4ortxyz_maschke-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Maschke's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/maschke-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Maschke's theorem — https://4ort.xyz/entity/maschke-s-theorem (retrieved 2026-05-03)

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