Generating set of a group

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Generating set of a group

Quality:

Generating set of a group - subset of a group such that all group elements can be expressed by finitely many group operations on its elements. Article "Generating set of a group" in English Wikipedia has 22.9 points for quality (as of July 1, 2025). The article contains 3 references and 9 sections.

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

Since the creation of article "Generating set of a group", its content was written by 66 registered users of English Wikipedia and edited by 230 registered Wikipedia users in all languages.

The article is cited 218 times in English Wikipedia and cited 893 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3035 in October 2002
  • Global: #5577 in October 2002

The highest popularity rank from 2008:

  • Local (English): #184947 in October 2014
  • Global: #214503 in October 2014

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
1English (en)
Generating set of a group
22.8795
2Galician (gl)
Conxunto xerador dun grupo
16.8359
3Polish (pl)
Zbiór generatorów grupy
16.0864
4Vietnamese (vi)
Tập sinh của nhóm
15.2354
5Chinese (zh)
群的生成集合
13.2452
6French (fr)
Partie génératrice d'un groupe
10.4188
7Arabic (ar)
مجموعة مولدة لزمرة
10.3695
8Portuguese (pt)
Conjunto gerador de um grupo
8.5568
9Russian (ru)
Порождающее множество группы
8.3798
10Dutch (nl)
Genererende verzameling
7.5827
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 "Generating set of a group" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Generating set of a group
757 562
2French (fr)
Partie génératrice d'un groupe
105 303
3Spanish (es)
Conjunto generador de un grupo
82 875
4Russian (ru)
Порождающее множество группы
61 821
5Japanese (ja)
群の生成系
46 268
6Chinese (zh)
群的生成集合
43 086
7Polish (pl)
Zbiór generatorów grupy
42 685
8Portuguese (pt)
Conjunto gerador de um grupo
40 260
9Czech (cs)
Generování grupy
14 792
10Slovenian (sl)
Generator
12 491
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 "Generating set of a group" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Generating set of a group
2 885
2Japanese (ja)
群の生成系
243
3Russian (ru)
Порождающее множество группы
234
4French (fr)
Partie génératrice d'un groupe
217
5Chinese (zh)
群的生成集合
176
6Spanish (es)
Conjunto generador de un grupo
124
7Polish (pl)
Zbiór generatorów grupy
116
8Slovenian (sl)
Generator
41
9Czech (cs)
Generování grupy
40
10Hungarian (hu)
Generátorhalmaz
37
More...

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

The highest AI

Language versions of the article "Generating set of a group" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Generating set of a group
66
2French (fr)
Partie génératrice d'un groupe
33
3Russian (ru)
Порождающее множество группы
23
4Hungarian (hu)
Generátorhalmaz
17
5Portuguese (pt)
Conjunto gerador de um grupo
15
6Dutch (nl)
Genererende verzameling
14
7Spanish (es)
Conjunto generador de un grupo
13
8Polish (pl)
Zbiór generatorów grupy
13
9Ukrainian (uk)
Породжувальна множина групи
7
10Czech (cs)
Generování grupy
5
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 "Generating set of a group" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مجموعة مولدة لزمرة
0
2Czech (cs)
Generování grupy
0
3English (en)
Generating set of a group
0
4Spanish (es)
Conjunto generador de un grupo
0
5Persian (fa)
مجموعه مولد یک گروه
0
6French (fr)
Partie génératrice d'un groupe
0
7Galician (gl)
Conxunto xerador dun grupo
0
8Hungarian (hu)
Generátorhalmaz
0
9Japanese (ja)
群の生成系
0
10Dutch (nl)
Genererende verzameling
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 "Generating set of a group" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Generating set of a group
218
2French (fr)
Partie génératrice d'un groupe
143
3Polish (pl)
Zbiór generatorów grupy
111
4Russian (ru)
Порождающее множество группы
77
5Chinese (zh)
群的生成集合
61
6Ukrainian (uk)
Породжувальна множина групи
60
7Japanese (ja)
群の生成系
42
8Spanish (es)
Conjunto generador de un grupo
41
9Slovenian (sl)
Generator
41
10Dutch (nl)
Genererende verzameling
40
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
مجموعة مولدة لزمرة
csCzech
Generování grupy
enEnglish
Generating set of a group
esSpanish
Conjunto generador de un grupo
faPersian
مجموعه مولد یک گروه
frFrench
Partie génératrice d'un groupe
glGalician
Conxunto xerador dun grupo
huHungarian
Generátorhalmaz
jaJapanese
群の生成系
nlDutch
Genererende verzameling
plPolish
Zbiór generatorów grupy
ptPortuguese
Conjunto gerador de um grupo
ruRussian
Порождающее множество группы
slSlovenian
Generator
ukUkrainian
Породжувальна множина групи
viVietnamese
Tập sinh của nhóm
zhChinese
群的生成集合

Popularity rank trends

Best Rank English:
#184947
10.2014
Global:
#214503
10.2014

AI rank trends

Best Rank English:
#3035
10.2002
Global:
#5577
10.2002

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 Generating set of a group from Wikipedia articles about Cayley graph, Cyclic group, Generator, Gauge theory and Multiplicative group of integers modulo n. Whereas reading the article about Generating set of a group people most often go to Wikipedia articles on Presentation of a group, Finitely generated group, Free group, Cyclic group and Generator.

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