Solvable group

en

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Solvable group

Quality:

Solvable group - group that can be constructed from abelian groups using extensions; a group whose derived series terminates in the trivial subgroup. Article “Solvable group” in English Wikipedia has 31 points for quality (as of July 1, 2025). The article contains 4 references and 25 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.63 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 “Solvable group”, its content was written by 104 registered users of English Wikipedia and edited by 353 registered Wikipedia users in all languages.

The article is cited 293 times in English Wikipedia and cited 1446 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #5229 in November 2002
  • Global: #9247 in November 2002

The highest popularity rank from 2008:

  • Local (English): #168440 in June 2022
  • Global: #196358 in November 2014

There are 22 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)
Solvable group
31.0278
2Indonesian (id)
Grup berpenyelesaian
28.081
3Ukrainian (uk)
Розв'язна група
24.8934
4Vietnamese (vi)
Nhóm giải được
20.6567
5Portuguese (pt)
Grupo solúvel
20.0853
6Finnish (fi)
Ratkeava ryhmä
19.0014
7Arabic (ar)
زمرة قابلة للحلحلة
17.5587
8Japanese (ja)
可解群
16.6233
9Chinese (zh)
可解群
15.8
10German (de)
Auflösbare Gruppe
14.568
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 "Solvable group" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Solvable group
703 328
2German (de)
Auflösbare Gruppe
88 301
3French (fr)
Groupe résoluble
67 293
4Russian (ru)
Разрешимая группа
58 224
5Japanese (ja)
可解群
55 262
6Spanish (es)
Grupo resoluble
32 290
7Chinese (zh)
可解群
31 045
8Polish (pl)
Grupa rozwiązalna
28 819
9Italian (it)
Gruppo risolubile
28 137
10Hebrew (he)
חבורה פתירה
21 129
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 "Solvable group" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Solvable group
3 617
2Japanese (ja)
可解群
373
3Russian (ru)
Разрешимая группа
267
4French (fr)
Groupe résoluble
264
5Chinese (zh)
可解群
211
6Spanish (es)
Grupo resoluble
178
7German (de)
Auflösbare Gruppe
156
8Italian (it)
Gruppo risolubile
118
9Korean (ko)
가해군
99
10Polish (pl)
Grupa rozwiązalna
79
More...

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

The highest AI

Language versions of the article "Solvable group" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Solvable group
104
2German (de)
Auflösbare Gruppe
52
3French (fr)
Groupe résoluble
36
4Russian (ru)
Разрешимая группа
25
5Hebrew (he)
חבורה פתירה
17
6Italian (it)
Gruppo risolubile
17
7Chinese (zh)
可解群
15
8Dutch (nl)
Oplosbare groep
11
9Polish (pl)
Grupa rozwiązalna
11
10Spanish (es)
Grupo resoluble
9
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 "Solvable group" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Persian (fa)
گروه حل‌پذیر
1
2Korean (ko)
가해군
1
3Arabic (ar)
زمرة قابلة للحلحلة
0
4Catalan (ca)
Grup resoluble
0
5German (de)
Auflösbare Gruppe
0
6English (en)
Solvable group
0
7Spanish (es)
Grupo resoluble
0
8Finnish (fi)
Ratkeava ryhmä
0
9French (fr)
Groupe résoluble
0
10Hebrew (he)
חבורה פתירה
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 "Solvable group" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Solvable group
293
2Italian (it)
Gruppo risolubile
183
3Chinese (zh)
可解群
147
4Polish (pl)
Grupa rozwiązalna
113
5Russian (ru)
Разрешимая группа
95
6Ukrainian (uk)
Розв'язна група
90
7French (fr)
Groupe résoluble
79
8Japanese (ja)
可解群
67
9Arabic (ar)
زمرة قابلة للحلحلة
66
10German (de)
Auflösbare Gruppe
65
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 قابلة للحلحلة
caCatalan
Grup resoluble
deGerman
Auflösbare Gruppe
enEnglish
Solvable group
esSpanish
Grupo resoluble
faPersian
گروه حل‌پذیر
fiFinnish
Ratkeava ryhmä
frFrench
Groupe résoluble
heHebrew
חבורה פתירה
idIndonesian
Grup berpenyelesaian
itItalian
Gruppo risolubile
jaJapanese
可解群
koKorean
가해군
nlDutch
Oplosbare groep
plPolish
Grupa rozwiązalna
ptPortuguese
Grupo solúvel
ruRussian
Разрешимая группа
simpleSimple English
Solvable group
svSwedish
Lösbar grupp
ukUkrainian
Розв'язна група
viVietnamese
Nhóm giải được
zhChinese
可解群

Popularity rank trends

Best Rank English:
#168440
06.2022
Global:
#196358
11.2014

AI rank trends

Best Rank English:
#5229
11.2002
Global:
#9247
11.2002

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 Solvable group from Wikipedia articles about Feit–Thompson theorem, Galois theory, Symmetric group, Abel–Ruffini theorem and Nilpotent group. Whereas reading the article about Solvable group people most often go to Wikipedia articles on Commutator subgroup, Group extension, Subgroup series, Composition series and Nilpotent group.

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