Lemma von Burnside

de

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Lemma von Burnside

Quality:

Burnside's lemma - lemma stating that, given a finite group G acting on a set, the number of orbits times |G| equals the sum (over every element of G) of the numbers of fixed points. Article “Lemma von Burnside” in German Wikipedia has 18.8 points for quality (as of July 1, 2025). The article contains 3 references and 4 sections.

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

Since the creation of article “Lemma von Burnside”, its content was written by 6 registered users of German Wikipedia and edited by 237 registered Wikipedia users in all languages.

The article is cited 3 times in German Wikipedia and cited 141 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #26321 in April 2019
  • Global: #3240 in June 2003

The highest popularity rank from 2008:

  • Local (German): #317934 in November 2022
  • Global: #263956 in May 2025

There are 17 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
1Polish (pl)
Lemat Burnside’a
26.411
2Chinese (zh)
伯恩赛德引理
25.7331
3English (en)
Burnside's lemma
23.7013
4French (fr)
Lemme de Burnside
21.1114
5German (de)
Lemma von Burnside
18.8271
6Korean (ko)
번사이드 보조정리
17.0257
7Spanish (es)
Lema de Burnside
16.777
8Swedish (sv)
Burnsides lemma
15.2563
9Tamil (ta)
பர்ன்ஸைட்-ஃப்ரொபீனியஸ் கொற்கோள்
11.9853
10Vietnamese (vi)
Bổ đề Burnside
11.5031
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 "Lemma von Burnside" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Burnside's lemma
583 223
2Russian (ru)
Лемма Бёрнсайда
58 611
3Japanese (ja)
バーンサイドの補題
39 100
4Chinese (zh)
伯恩赛德引理
38 276
5Korean (ko)
번사이드 보조정리
20 462
6Hebrew (he)
הלמה של ברנסייד
15 598
7German (de)
Lemma von Burnside
11 985
8Swedish (sv)
Burnsides lemma
8 089
9Persian (fa)
لم برنساید
6 357
10French (fr)
Lemme de Burnside
5 086
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 "Lemma von Burnside" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Burnside's lemma
4 517
2Japanese (ja)
バーンサイドの補題
555
3Russian (ru)
Лемма Бёрнсайда
331
4French (fr)
Lemme de Burnside
279
5Chinese (zh)
伯恩赛德引理
247
6Korean (ko)
번사이드 보조정리
207
7Polish (pl)
Lemat Burnside’a
134
8German (de)
Lemma von Burnside
117
9Spanish (es)
Lema de Burnside
106
10Hebrew (he)
הלמה של ברנסייד
77
More...

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

The highest AI

Language versions of the article "Lemma von Burnside" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Burnside's lemma
88
2Russian (ru)
Лемма Бёрнсайда
33
3Hebrew (he)
הלמה של ברנסייד
30
4Tamil (ta)
பர்ன்ஸைட்-ஃப்ரொபீனியஸ் கொற்கோள்
12
5Swedish (sv)
Burnsides lemma
10
6Persian (fa)
لم برنساید
8
7Japanese (ja)
バーンサイドの補題
8
8Dutch (nl)
Lemma van Burnside
8
9Chinese (zh)
伯恩赛德引理
8
10Korean (ko)
번사이드 보조정리
7
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 "Lemma von Burnside" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Japanese (ja)
バーンサイドの補題
1
2German (de)
Lemma von Burnside
0
3English (en)
Burnside's lemma
0
4Spanish (es)
Lema de Burnside
0
5Persian (fa)
لم برنساید
0
6French (fr)
Lemme de Burnside
0
7Hebrew (he)
הלמה של ברנסייד
0
8Korean (ko)
번사이드 보조정리
0
9Dutch (nl)
Lemma van Burnside
0
10Polish (pl)
Lemat Burnside’a
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 "Lemma von Burnside" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Burnside's lemma
53
2Japanese (ja)
バーンサイドの補題
11
3Russian (ru)
Лемма Бёрнсайда
10
4French (fr)
Lemme de Burnside
8
5Chinese (zh)
伯恩赛德引理
8
6Hebrew (he)
הלמה של ברנסייד
7
7Swedish (sv)
Burnsides lemma
7
8Spanish (es)
Lema de Burnside
6
9Korean (ko)
번사이드 보조정리
6
10Ukrainian (uk)
Лема Бернсайда
6
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Lemma von Burnside
enEnglish
Burnside's lemma
esSpanish
Lema de Burnside
faPersian
لم برنساید
frFrench
Lemme de Burnside
heHebrew
הלמה של ברנסייד
jaJapanese
バーンサイドの補題
koKorean
번사이드 보조정리
nlDutch
Lemma van Burnside
plPolish
Lemat Burnside’a
roRomanian
Lema lui Burnside
ruRussian
Лемма Бёрнсайда
svSwedish
Burnsides lemma
taTamil
பர்ன்ஸைட்-ஃப்ரொபீனியஸ் கொற்கோள்
ukUkrainian
Лема Бернсайда
viVietnamese
Bổ đề Burnside
zhChinese
伯恩赛德引理

Popularity rank trends

Best Rank German:
#317934
11.2022
Global:
#263956
05.2025

AI rank trends

Best Rank German:
#26321
04.2019
Global:
#3240
06.2003

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Burnside's lemma from Wikipedia articles about Group action, Pólya enumeration theorem, Lemma, Burnsides theorem and Group theory. Whereas reading the article about Burnside's lemma people most often go to Wikipedia articles on Group action, Pólya enumeration theorem, Stiglers law of eponymy, Cycle index and Necklace polynomial.

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