Symmetric group

en

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Symmetric group

Quality:

Symmetric group - group of bijective automorphisms of a set, also called bijective group: the group of bijections on a set (the group of all its permutations), whose group operation is function composition. Article “Symmetric group” in English Wikipedia has 53.1 points for quality (as of July 1, 2025). The article contains 17 references and 28 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.79 points.

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

In June 2025 the article “Symmetric group” was edited by 2 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article “Symmetric group”, its content was written by 141 registered users of English Wikipedia and edited by 568 registered Wikipedia users in all languages.

The article is cited 525 times in English Wikipedia and cited 2777 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #596 in April 2002
  • Global: #874 in April 2002

The highest popularity rank from 2008:

  • Local (English): #78920 in October 2014
  • Global: #25748 in November 2014

There are 26 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
1English (en)
Symmetric group
53.0688
2Galician (gl)
Grupo simétrico
31.8556
3Indonesian (id)
Grup simetrik
29.4561
4Slovenian (sl)
Simetrična grupa
27.1031
5Japanese (ja)
対称群
25.5486
6Basque (eu)
Talde simetriko
25.4899
7French (fr)
Groupe symétrique
25.4404
8German (de)
Symmetrische Gruppe
24.7432
9Arabic (ar)
زمرة متناظرة
20.1397
10Polish (pl)
Grupa bijekcji
18.5549
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 "Symmetric group" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Symmetric group
1 696 894
2German (de)
Symmetrische Gruppe
490 610
3Japanese (ja)
対称群
377 220
4French (fr)
Groupe symétrique
235 896
5Russian (ru)
Симметрическая группа
215 051
6Spanish (es)
Grupo simétrico
172 685
7Italian (it)
Gruppo simmetrico
133 104
8Chinese (zh)
对称群 (n次对称群)
82 034
9Hebrew (he)
החבורה הסימטרית
42 656
10Korean (ko)
대칭군 (군론)
21 232
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 "Symmetric group" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Symmetric group
6 968
2Japanese (ja)
対称群
1 284
3French (fr)
Groupe symétrique
740
4German (de)
Symmetrische Gruppe
674
5Russian (ru)
Симметрическая группа
610
6Chinese (zh)
对称群 (n次对称群)
441
7Spanish (es)
Grupo simétrico
362
8Italian (it)
Gruppo simmetrico
350
9Korean (ko)
대칭군 (군론)
135
10Hebrew (he)
החבורה הסימטרית
58
More...

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

The highest AI

Language versions of the article "Symmetric group" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Symmetric group
141
2German (de)
Symmetrische Gruppe
62
3French (fr)
Groupe symétrique
55
4Japanese (ja)
対称群
42
5Russian (ru)
Симметрическая группа
42
6Hebrew (he)
החבורה הסימטרית
28
7Italian (it)
Gruppo simmetrico
26
8Spanish (es)
Grupo simétrico
24
9Chinese (zh)
对称群 (n次对称群)
18
10Korean (ko)
대칭군 (군론)
14
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 "Symmetric group" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Symmetric group
2
2Persian (fa)
گروه متقارن
1
3Italian (it)
Gruppo simmetrico
1
4Dutch (nl)
Symmetrische groep
1
5Arabic (ar)
زمرة متناظرة
0
6Catalan (ca)
Grup simètric
0
7Czech (cs)
Symetrická grupa
0
8German (de)
Symmetrische Gruppe
0
9Esperanto (eo)
Simetria grupo
0
10Spanish (es)
Grupo simétrico
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 "Symmetric group" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Symmetric group
525
2Italian (it)
Gruppo simmetrico
255
3Japanese (ja)
対称群
239
4French (fr)
Groupe symétrique
196
5Russian (ru)
Симметрическая группа
184
6Chinese (zh)
对称群 (n次对称群)
176
7Polish (pl)
Grupa bijekcji
165
8Ukrainian (uk)
Симетрична група
150
9German (de)
Symmetrische Gruppe
147
10Spanish (es)
Grupo simétrico
112
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
زمرة متناظرة
caCatalan
Grup simètric
csCzech
Symetrická grupa
deGerman
Symmetrische Gruppe
enEnglish
Symmetric group
eoEsperanto
Simetria grupo
esSpanish
Grupo simétrico
euBasque
Talde simetriko
faPersian
گروه متقارن
fiFinnish
Symmetrinen ryhmä
frFrench
Groupe symétrique
glGalician
Grupo simétrico
heHebrew
החבורה הסימטרית
idIndonesian
Grup simetrik
itItalian
Gruppo simmetrico
jaJapanese
対称群
koKorean
대칭군 (군론)
nlDutch
Symmetrische groep
plPolish
Grupa bijekcji
ruRussian
Симметрическая группа
slSlovenian
Simetrična grupa
srSerbian
Симетрична група
svSwedish
Symmetrisk grupp
taTamil
சமச்சீர் குலம்
ukUkrainian
Симетрична група
zhChinese
对称群 (n次对称群)

Popularity rank trends

Best Rank English:
#78920
10.2014
Global:
#25748
11.2014

AI rank trends

Best Rank English:
#596
04.2002
Global:
#874
04.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Symmetric group from Wikipedia articles about Permutation group, Alternating group, Cayleys theorem, Permutation and Symmetry group. Whereas reading the article about Symmetric group people most often go to Wikipedia articles on Permutation, Alternating group, Cayley graph, Dihedral group of order 6 and Symmetry group.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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