Burnside's theorem

en

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Burnside's theorem

Quality:

Burnside's theorem - a result in group theory that is often useful in taking account of symmetry when counting mathematical objects. Article “Burnside's theorem” in English Wikipedia has 10.4 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Burnside's theorem”, its content was written by 34 registered users of English Wikipedia and edited by 106 registered Wikipedia users in all languages.

The article is cited 17 times in English Wikipedia and cited 85 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #63550 in May 2005
  • Global: #42424 in May 2005

The highest popularity rank from 2008:

  • Local (English): #600228 in November 2008
  • Global: #807503 in May 2025

There are 9 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Satz von Burnside
28.0302
2Russian (ru)
Теорема Бёрнсайда
16.8303
3French (fr)
Théorème de Burnside (groupe résoluble)
12.1225
4Korean (ko)
번사이드 정리
11.0102
5English (en)
Burnside's theorem
10.4235
6Japanese (ja)
バーンサイドの定理
6.8634
7Dutch (nl)
Stelling van Burnside
4.6315
8Arabic (ar)
مبرهنة برنسايد
2.9163
9Swedish (sv)
Burnsides sats
1.4819
More...

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

Most popular in all the time

The most popular language versions of the article "Burnside's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Burnside's theorem
152 078
2Russian (ru)
Теорема Бёрнсайда
21 837
3French (fr)
Théorème de Burnside (groupe résoluble)
19 018
4Japanese (ja)
バーンサイドの定理
9 201
5German (de)
Satz von Burnside
7 351
6Korean (ko)
번사이드 정리
5 233
7Dutch (nl)
Stelling van Burnside
4 447
8Swedish (sv)
Burnsides sats
676
9Arabic (ar)
مبرهنة برنسايد
347
More...

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

Most popular in June 2025

The most popular language versions of the article "Burnside's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Burnside's theorem
1 229
2Japanese (ja)
バーンサイドの定理
132
3Russian (ru)
Теорема Бёрнсайда
87
4German (de)
Satz von Burnside
70
5French (fr)
Théorème de Burnside (groupe résoluble)
51
6Korean (ko)
번사이드 정리
23
7Dutch (nl)
Stelling van Burnside
15
8Swedish (sv)
Burnsides sats
11
9Arabic (ar)
مبرهنة برنسايد
5
More...

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

The highest AI

Language versions of the article "Burnside's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Burnside's theorem
34
2German (de)
Satz von Burnside
22
3French (fr)
Théorème de Burnside (groupe résoluble)
16
4Russian (ru)
Теорема Бёрнсайда
12
5Japanese (ja)
バーンサイドの定理
9
6Dutch (nl)
Stelling van Burnside
9
7Swedish (sv)
Burnsides sats
2
8Arabic (ar)
مبرهنة برنسايد
1
9Korean (ko)
번사이드 정리
1
More...

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

The highest AI in June 2025

Language versions of the article "Burnside's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة برنسايد
0
2German (de)
Satz von Burnside
0
3English (en)
Burnside's theorem
0
4French (fr)
Théorème de Burnside (groupe résoluble)
0
5Japanese (ja)
バーンサイドの定理
0
6Korean (ko)
번사이드 정리
0
7Dutch (nl)
Stelling van Burnside
0
8Russian (ru)
Теорема Бёрнсайда
0
9Swedish (sv)
Burnsides sats
0
More...

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

The highest CI

Language versions of the article "Burnside's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème de Burnside (groupe résoluble)
31
2English (en)
Burnside's theorem
17
3Japanese (ja)
バーンサイドの定理
9
4Korean (ko)
번사이드 정리
8
5Arabic (ar)
مبرهنة برنسايد
5
6German (de)
Satz von Burnside
4
7Dutch (nl)
Stelling van Burnside
4
8Russian (ru)
Теорема Бёрнсайда
4
9Swedish (sv)
Burnsides sats
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة برنسايد
deGerman
Satz von Burnside
enEnglish
Burnside's theorem
frFrench
Théorème de Burnside (groupe résoluble)
jaJapanese
バーンサイドの定理
koKorean
번사이드 정리
nlDutch
Stelling van Burnside
ruRussian
Теорема Бёрнсайда
svSwedish
Burnsides sats

Popularity rank trends

Best Rank English:
#600228
11.2008
Global:
#807503
05.2025

AI rank trends

Best Rank English:
#63550
05.2005
Global:
#42424
05.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Burnside's theorem from Wikipedia articles about Solvable group, Sylow theorems, Character of a group representation, William Burnside and Simple group. Whereas reading the article about Burnside's theorem people most often go to Wikipedia articles on Solvable group, Burnsides lemma, William Burnside, Representation theory of finite groups and N-group.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

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