クラインの四元群

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クラインの四元群

Quality:

Klein four-group - direct product of two cyclic groups of order two; smallest group that is non-cyclic. Article "クラインの四元群" in Japanese Wikipedia has 2 points for quality (as of August 1, 2024).

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

Since the creation of article "クラインの四元群", its content was written by 7 registered users of Japanese Wikipedia and edited by 433 registered Wikipedia users in all languages.

The article is cited 59 times in Japanese Wikipedia and cited 899 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #17449 in October 2010
  • Global: #801 in February 2002

The highest popularity rank from 2008:

  • Local (Japanese): #226418 in December 2022
  • Global: #142126 in February 2023

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 August 1, 2024 (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)
Klein four-group
40.4133
2Indonesian (id)
Klein empat grup
36.5121
3German (de)
Kleinsche Vierergruppe
24.9192
4Polish (pl)
Grupa czwórkowa Kleina
21.4523
5Persian (fa)
گروه چهارتایی کلاین
20.9973
6Russian (ru)
Четверная группа Клейна
20.766
7Hungarian (hu)
Klein-csoport
20.0284
8Arabic (ar)
زمرة كلاين رباعية العناصر
18.2247
9Romanian (ro)
Grupul lui Klein
14.1381
10Korean (ko)
클라인 4원군
13.5296
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 "クラインの四元群" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Klein four-group
785 740
2German (de)
Kleinsche Vierergruppe
176 293
3French (fr)
Groupe de Klein
86 305
4Spanish (es)
Grupo de Klein
65 910
5Russian (ru)
Четверная группа Клейна
59 333
6Japanese (ja)
クラインの四元群
51 977
7Italian (it)
Gruppo di Klein
45 120
8Chinese (zh)
克莱因四元群
40 317
9Polish (pl)
Grupa czwórkowa Kleina
40 008
10Korean (ko)
클라인 4원군
22 512
More...

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

Most popular in July 2024

The most popular language versions of the article "クラインの四元群" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Klein four-group
3 364
2German (de)
Kleinsche Vierergruppe
555
3Japanese (ja)
クラインの四元群
488
4French (fr)
Groupe de Klein
258
5Spanish (es)
Grupo de Klein
246
6Italian (it)
Gruppo di Klein
201
7Russian (ru)
Четверная группа Клейна
198
8Chinese (zh)
克莱因四元群
173
9Korean (ko)
클라인 4원군
153
10Hebrew (he)
חבורת הארבעה של קליין
94
More...

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

The highest AI

Language versions of the article "クラインの四元群" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Klein four-group
102
2German (de)
Kleinsche Vierergruppe
68
3French (fr)
Groupe de Klein
55
4Italian (it)
Gruppo di Klein
32
5Dutch (nl)
Viergroep van Klein
31
6Russian (ru)
Четверная группа Клейна
21
7Polish (pl)
Grupa czwórkowa Kleina
17
8Hungarian (hu)
Klein-csoport
14
9Spanish (es)
Grupo de Klein
11
10Hebrew (he)
חבורת הארבעה של קליין
11
More...

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

The highest AI in July 2024

Language versions of the article "クラインの四元群" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Arabic (ar)
زمرة كلاين رباعية العناصر
0
2Catalan (ca)
Grup de Klein
0
3Czech (cs)
Kleinova čtyřgrupa
0
4Danish (da)
Kleins firegruppe
0
5German (de)
Kleinsche Vierergruppe
0
6English (en)
Klein four-group
0
7Spanish (es)
Grupo de Klein
0
8Persian (fa)
گروه چهارتایی کلاین
0
9Finnish (fi)
Kleinin neliryhmä
0
10French (fr)
Groupe de Klein
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 "クラインの四元群" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Gruppo di Klein
179
2English (en)
Klein four-group
121
3Ukrainian (uk)
4-група Кляйна
85
4Russian (ru)
Четверная группа Клейна
76
5Japanese (ja)
クラインの四元群
59
6French (fr)
Groupe de Klein
58
7German (de)
Kleinsche Vierergruppe
42
8Arabic (ar)
زمرة كلاين رباعية العناصر
30
9Chinese (zh)
克莱因四元群
30
10Spanish (es)
Grupo de Klein
27
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in July 2024:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in July 2024:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
زمرة كلاين رباعية العناصر
caCatalan
Grup de Klein
csCzech
Kleinova čtyřgrupa
daDanish
Kleins firegruppe
deGerman
Kleinsche Vierergruppe
enEnglish
Klein four-group
esSpanish
Grupo de Klein
faPersian
گروه چهارتایی کلاین
fiFinnish
Kleinin neliryhmä
frFrench
Groupe de Klein
heHebrew
חבורת הארבעה של קליין
huHungarian
Klein-csoport
idIndonesian
Klein empat grup
itItalian
Gruppo di Klein
jaJapanese
クラインの四元群
koKorean
클라인 4원군
nlDutch
Viergroep van Klein
plPolish
Grupa czwórkowa Kleina
ptPortuguese
Klein 4
roRomanian
Grupul lui Klein
ruRussian
Четверная группа Клейна
svSwedish
Kleins fyrgrupp
taTamil
கிளைன் நான்குறுப்புக்குலம்
ukUkrainian
4-група Кляйна
viVietnamese
Nhóm bốn Klein
zhChinese
克莱因四元群

Popularity rank trends

Best Rank Japanese:
#226418
12.2022
Global:
#142126
02.2023

AI rank trends

Best Rank Japanese:
#17449
10.2010
Global:
#801
02.2002

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Klein four-group from Wikipedia articles about Dihedral group, List of small groups, Galois theory, Sator Square and Symmetric group. Whereas reading the article about Klein four-group people most often go to Wikipedia articles on Cyclic group, Dihedral group, List of small groups, Quaternion group and Felix Klein.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 24 September 2024

On 24 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Lebanon, Hezbollah, Lyle and Erik Menéndez, Sean Combs, Monsters: The Lyle and Erik Menendez Story, ChatGPT, deaths in 2024, Linkin Park, Thunderbolts, September 24.

In Japanese Wikipedia the most popular articles on that day were: 大口病院連続点滴中毒死事件, 山本格, 柏原崇, ダンプ松本, 河合優実, 野村麻純, 小川淳也, 高市早苗, Mrs. GREEN APPLE, 若林佑真.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information