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, 2026). 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 (English) language version.

Since the creation of article “Generating set of a group”, its content was written by 68 registered users of English Wikipedia and edited by 237 registered Wikipedia users in all languages.

The article is cited 209 times in English Wikipedia and cited 895 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3027 in October 2002
  • Global: #5581 in October 2002

The highest popularity rank from 2008:

  • Local (English): #185908 in October 2014
  • Global: #216437 in October 2014

There are 18 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, 2026 (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
22.8525
2Galician (gl)
Conxunto xerador dun grupo
16.8547
3Polish (pl)
Zbiór generatorów grupy
16.0957
4Vietnamese (vi)
Tập sinh của nhóm
15.2062
5Chinese (zh)
群的生成集合
13.2396
6French (fr)
Partie génératrice d'un groupe
10.4089
7Arabic (ar)
مجموعة مولدة لزمرة
10.3263
8Finnish (fi)
Virittäjä (ryhmäteoria)
9.4576
9Portuguese (pt)
Conjunto gerador de um grupo
8.5125
10Russian (ru)
Порождающее множество группы
8.3895
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
784 531
2French (fr)
Partie génératrice d'un groupe
108 480
3Spanish (es)
Conjunto generador de un grupo
83 712
4Russian (ru)
Порождающее множество группы
66 322
5Japanese (ja)
群の生成系
48 545
6Chinese (zh)
群的生成集合
45 227
7Polish (pl)
Zbiór generatorów grupy
43 616
8Portuguese (pt)
Conjunto gerador de um grupo
40 689
9Czech (cs)
Generování grupy
15 063
10Slovenian (sl)
Generator
12 563
More...

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

Most popular in June 2026

The most popular language versions of the article "Generating set of a group" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Generating set of a group
1 641
2French (fr)
Partie génératrice d'un groupe
181
3Japanese (ja)
群の生成系
172
4Russian (ru)
Порождающее множество группы
158
5Chinese (zh)
群的生成集合
130
6Polish (pl)
Zbiór generatorów grupy
72
7Spanish (es)
Conjunto generador de un grupo
36
8Portuguese (pt)
Conjunto gerador de um grupo
29
9Czech (cs)
Generování grupy
13
10Ukrainian (uk)
Породжувальна множина групи
10
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
68
2French (fr)
Partie génératrice d'un groupe
34
3Russian (ru)
Порождающее множество группы
23
4Hungarian (hu)
Generátorhalmaz
18
5Portuguese (pt)
Conjunto gerador de um grupo
16
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
10Chinese (zh)
群的生成集合
6
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 2026

Language versions of the article "Generating set of a group" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Arabic (ar)
مجموعة مولدة لزمرة
1
2French (fr)
Partie génératrice d'un groupe
1
3Czech (cs)
Generování grupy
0
4English (en)
Generating set of a group
0
5Spanish (es)
Conjunto generador de un grupo
0
6Persian (fa)
مجموعه مولد یک گروه
0
7Finnish (fi)
Virittäjä (ryhmäteoria)
0
8Galician (gl)
Conxunto xerador dun grupo
0
9Hungarian (hu)
Generátorhalmaz
0
10Japanese (ja)
群の生成系
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
209
2French (fr)
Partie génératrice d'un groupe
145
3Polish (pl)
Zbiór generatorów grupy
111
4Russian (ru)
Порождающее множество группы
71
5Ukrainian (uk)
Породжувальна множина групи
64
6Chinese (zh)
群的生成集合
61
7Slovenian (sl)
Generator
42
8Spanish (es)
Conjunto generador de un grupo
41
9Dutch (nl)
Genererende verzameling
39
10Japanese (ja)
群の生成系
38
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
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
fiFinnish
Virittäjä (ryhmäteoria)
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:
#185908
10.2014
Global:
#216437
10.2014

AI rank trends

Best Rank English:
#3027
10.2002
Global:
#5581
10.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

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 Presentation of a group. 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, Generator, Free group and Cyclic 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 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information