マシュケの定理

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. Article “マシュケの定理” in Japanese Wikipedia has 15.3 points for quality (as of July 1, 2025). The article contains 9 references and 4 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Japanese) language version.

Since the creation of article “マシュケの定理”, its content was written by 4 registered users of Japanese Wikipedia and edited by 151 registered Wikipedia users in all languages.

The article is cited 16 times in Japanese Wikipedia and cited 105 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #106368 in March 2015
• Global: #54817 in September 2005

The highest popularity rank from 2008:

• Local (Japanese): #517214 in November 2021
• Global: #485588 in January 2015

There are 10 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Maschke's theorem		33.3373
2	Ukrainian (uk) Теорема Машке		20.5095
3	Japanese (ja) マシュケの定理		15.2657
4	French (fr) Théorème de Maschke		12.0463
5	Chinese (zh) 马施克定理		8.8203
6	Russian (ru) Теорема Машке		4.8065
7	German (de) Satz von Maschke		4.5255
8	Hebrew (he) משפט משקה		1.9267
9	Esperanto (eo) Teoremo de Maschke		1.7492
10	Spanish (es) Teorema de Maschke		0.1635

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "マシュケの定理" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Maschke's theorem		158 693
2	French (fr) Théorème de Maschke		22 030
3	German (de) Satz von Maschke		15 078
4	Russian (ru) Теорема Машке		12 452
5	Japanese (ja) マシュケの定理		12 363
6	Spanish (es) Teorema de Maschke		7 309
7	Hebrew (he) משפט משקה		3 585
8	Chinese (zh) 马施克定理		2 641
9	Esperanto (eo) Teoremo de Maschke		1 208
10	Ukrainian (uk) Теорема Машке		295

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "マシュケの定理" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Maschke's theorem		1 239
2	Japanese (ja) マシュケの定理		129
3	French (fr) Théorème de Maschke		107
4	Russian (ru) Теорема Машке		95
5	German (de) Satz von Maschke		86
6	Spanish (es) Teorema de Maschke		30
7	Chinese (zh) 马施克定理		29
8	Hebrew (he) משפט משקה		18
9	Esperanto (eo) Teoremo de Maschke		9
10	Ukrainian (uk) Теорема Машке		4

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "マシュケの定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Maschke's theorem		45
2	French (fr) Théorème de Maschke		28
3	German (de) Satz von Maschke		24
4	Russian (ru) Теорема Машке		14
5	Hebrew (he) משפט משקה		9
6	Spanish (es) Teorema de Maschke		8
7	Esperanto (eo) Teoremo de Maschke		7
8	Chinese (zh) 马施克定理		7
9	Ukrainian (uk) Теорема Машке		5
10	Japanese (ja) マシュケの定理		4

More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "マシュケの定理" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Satz von Maschke		0
2	English (en) Maschke's theorem		0
3	Esperanto (eo) Teoremo de Maschke		0
4	Spanish (es) Teorema de Maschke		0
5	French (fr) Théorème de Maschke		0
6	Hebrew (he) משפט משקה		0
7	Japanese (ja) マシュケの定理		0
8	Russian (ru) Теорема Машке		0
9	Ukrainian (uk) Теорема Машке		0
10	Chinese (zh) 马施克定理		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "マシュケの定理" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Maschke's theorem		31
2	French (fr) Théorème de Maschke		31
3	Japanese (ja) マシュケの定理		16
4	German (de) Satz von Maschke		10
5	Hebrew (he) משפט משקה		8
6	Spanish (es) Teorema de Maschke		3
7	Russian (ru) Теорема Машке		2
8	Chinese (zh) 马施克定理		2
9	Esperanto (eo) Teoremo de Maschke		1
10	Ukrainian (uk) Теорема Машке		1

More...

#	Language	Value
de	German Satz von Maschke
en	English Maschke's theorem
eo	Esperanto Teoremo de Maschke
es	Spanish Teorema de Maschke
fr	French Théorème de Maschke
he	Hebrew משפט משקה
ja	Japanese マシュケの定理
ru	Russian Теорема Машке
uk	Ukrainian Теорема Машке
zh	Chinese 马施克定理

Best Rank

Japanese: #517214 11.2021

Global: #485588 01.2015

Best Rank

Japanese: #106368 03.2015

Global: #54817 09.2005

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information