Finitely generated group

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Finitely generated group

Quality:

Finitely generated group - group G that has some finite generating set S so that every element of G can be written as the product of finitely many elements of the finite set S and of inverses of such element. Article “Finitely generated group” in English Wikipedia has 32 points for quality (as of July 1, 2025). The article contains 4 references and 15 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.68 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.

Since the creation of article “Finitely generated group”, its content was written by 22 registered users of English Wikipedia and edited by 43 registered Wikipedia users in all languages.

The article is cited 130 times in English Wikipedia and cited 195 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #36432 in October 2015
  • Global: #127580 in September 2004

The highest popularity rank from 2008:

  • Local (English): #643300 in October 2020
  • Global: #971938 in November 2019

There are 6 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)
Finitely generated group
32.0009
2Vietnamese (vi)
Nhóm hữu hạn sinh
19.3069
3Romanian (ro)
Grup finit generat
17.1262
4Japanese (ja)
有限生成群
15.9879
5Persian (fa)
گروه متناهیاً تولیدشده
10.2272
6German (de)
Endlich erzeugte Gruppe
4.5616
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 "Finitely generated group" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Finitely generated group
115 973
2German (de)
Endlich erzeugte Gruppe
23 244
3Japanese (ja)
有限生成群
10 477
4Romanian (ro)
Grup finit generat
2 492
5Vietnamese (vi)
Nhóm hữu hạn sinh
510
6Persian (fa)
گروه متناهیاً تولیدشده
421
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 "Finitely generated group" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Finitely generated group
953
2Japanese (ja)
有限生成群
68
3German (de)
Endlich erzeugte Gruppe
47
4Romanian (ro)
Grup finit generat
22
5Persian (fa)
گروه متناهیاً تولیدشده
11
6Vietnamese (vi)
Nhóm hữu hạn sinh
7
More...

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

The highest AI

Language versions of the article "Finitely generated group" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Finitely generated group
22
2German (de)
Endlich erzeugte Gruppe
11
3Persian (fa)
گروه متناهیاً تولیدشده
3
4Romanian (ro)
Grup finit generat
3
5Japanese (ja)
有限生成群
2
6Vietnamese (vi)
Nhóm hữu hạn sinh
2
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 "Finitely generated group" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Romanian (ro)
Grup finit generat
1
2German (de)
Endlich erzeugte Gruppe
0
3English (en)
Finitely generated group
0
4Persian (fa)
گروه متناهیاً تولیدشده
0
5Japanese (ja)
有限生成群
0
6Vietnamese (vi)
Nhóm hữu hạn sinh
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 "Finitely generated group" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Finitely generated group
130
2German (de)
Endlich erzeugte Gruppe
41
3Japanese (ja)
有限生成群
15
4Romanian (ro)
Grup finit generat
4
5Vietnamese (vi)
Nhóm hữu hạn sinh
4
6Persian (fa)
گروه متناهیاً تولیدشده
1
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
deGerman
Endlich erzeugte Gruppe
enEnglish
Finitely generated group
faPersian
گروه متناهیاً تولیدشده
jaJapanese
有限生成群
roRomanian
Grup finit generat
viVietnamese
Nhóm hữu hạn sinh

Popularity rank trends

Best Rank English:
#643300
10.2020
Global:
#971938
11.2019

AI rank trends

Best Rank English:
#36432
10.2015
Global:
#127580
09.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Finitely generated group from Wikipedia articles about Generating set of a group, Tits alternative, Burnsides problem, Cyclic group and Geometric group theory. Whereas reading the article about Finitely generated group people most often go to Wikipedia articles on Generating set of a group, Finitely generated abelian group, Presentation of a group, Group and Nielsen–Schreier theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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