Lagrange's theorem (group theory)

Quality:

Lagrange's theorem - group theory. Article "Lagrange's theorem (group theory)" in English Wikipedia has 27.9 points for quality (as of July 1, 2025). The article contains 6 references and 8 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Lagrange's theorem (group theory)", its content was written by 102 registered users of English Wikipedia and edited by 565 registered Wikipedia users in all languages.

The article is cited 181 times in English Wikipedia and cited 1232 times in all languages.

The highest Authors Interest rank from 2001:

Local (English): #1027 in June 2003
Global: #1431 in June 2003

The highest popularity rank from 2008:

Local (English): #94089 in November 2019
Global: #91453 in January 2015

There are 32 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

#	Language	Quality score
1	Chinese (zh) 拉格朗日定理 (群論)	38.5685
2	Japanese (ja) ラグランジュの定理 (群論)	33.6592
3	Indonesian (id) Teorema Lagrange (teori grup)	28.7499
4	English (en) Lagrange's theorem (group theory)	27.8897
5	Ukrainian (uk) Теорема Лагранжа (теорія груп)	23.1824
6	Korean (ko) 라그랑주 정리 (군론)	18.8152
7	Catalan (ca) Teorema de Lagrange (àlgebra)	15.0038
8	French (fr) Théorème de Lagrange sur les groupes	14.294
9	Polish (pl) Twierdzenie Lagrange’a (teoria grup)	14.1391
10	Arabic (ar) مبرهنة لاغرانج (نظرية الزمر)	13.2496

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 "Lagrange's theorem (group theory)" in all the time

#	Language	Relative popularity
1	English (en) Lagrange's theorem (group theory)	1 248 336
2	Russian (ru) Теорема Лагранжа (теория групп)	283 042
3	German (de) Satz von Lagrange	267 752
4	French (fr) Théorème de Lagrange sur les groupes	197 039
5	Spanish (es) Teorema de Lagrange (teoría de grupos)	134 160
6	Japanese (ja) ラグランジュの定理 (群論)	79 445
7	Chinese (zh) 拉格朗日定理 (群論)	70 329
8	Italian (it) Teorema di Lagrange (teoria dei gruppi)	67 978
9	Polish (pl) Twierdzenie Lagrange’a (teoria grup)	55 784
10	Romanian (ro) Teorema lui Lagrange (teoria grupurilor)	53 886

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 "Lagrange's theorem (group theory)" in June 2025

#	Language	Relative popularity
1	English (en) Lagrange's theorem (group theory)	4 367
2	Russian (ru) Теорема Лагранжа (теория групп)	755
3	French (fr) Théorème de Lagrange sur les groupes	649
4	German (de) Satz von Lagrange	545
5	Chinese (zh) 拉格朗日定理 (群論)	400
6	Japanese (ja) ラグランジュの定理 (群論)	335
7	Spanish (es) Teorema de Lagrange (teoría de grupos)	216
8	Romanian (ro) Teorema lui Lagrange (teoria grupurilor)	212
9	Polish (pl) Twierdzenie Lagrange’a (teoria grup)	206
10	Simple English (simple) Lagrange's theorem (group theory)	197

More...

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

The highest AI

Language versions of the article "Lagrange's theorem (group theory)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	Relative AI
1	English (en) Lagrange's theorem (group theory)	102
2	French (fr) Théorème de Lagrange sur les groupes	68
3	German (de) Satz von Lagrange	54
4	Italian (it) Teorema di Lagrange (teoria dei gruppi)	35
5	Russian (ru) Теорема Лагранжа (теория групп)	28
6	Dutch (nl) Stelling van Lagrange (groepentheorie)	25
7	Hebrew (he) משפט לגראנז' (תורת החבורות)	22
8	Chinese (zh) 拉格朗日定理 (群論)	22
9	Vietnamese (vi) Định lý Lagrange (lý thuyết nhóm)	21
10	Polish (pl) Twierdzenie Lagrange’a (teoria grup)	18

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 "Lagrange's theorem (group theory)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة لاغرانج (نظرية الزمر)		0
2	Catalan (ca) Teorema de Lagrange (àlgebra)		0
3	Czech (cs) Lagrangeova věta (teorie grup)		0
4	German (de) Satz von Lagrange		0
5	English (en) Lagrange's theorem (group theory)		0
6	Spanish (es) Teorema de Lagrange (teoría de grupos)		0
7	Persian (fa) قضیه لاگرانژ (نظریه گروه‌ها)		0
8	Finnish (fi) Lagrangen indeksilause		0
9	French (fr) Théorème de Lagrange sur les groupes		0
10	Galician (gl) Teorema de Lagrange (teoría de grupos)		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 "Lagrange's theorem (group theory)" with the highest Citation Index (CI)

#	Language	Relative CI
1	English (en) Lagrange's theorem (group theory)	181
2	Italian (it) Teorema di Lagrange (teoria dei gruppi)	181
3	Chinese (zh) 拉格朗日定理 (群論)	117
4	Polish (pl) Twierdzenie Lagrange’a (teoria grup)	105
5	Ukrainian (uk) Теорема Лагранжа (теорія груп)	81
6	Russian (ru) Теорема Лагранжа (теория групп)	72
7	Arabic (ar) مبرهنة لاغرانج (نظرية الزمر)	68
8	French (fr) Théorème de Lagrange sur les groupes	58
9	Japanese (ja) ラグランジュの定理 (群論)	46
10	Indonesian (id) Teorema Lagrange (teori grup)	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

#	Language	Value
ar	Arabic مبرهنة لاغرانج (نظرية الزمر)
ca	Catalan Teorema de Lagrange (àlgebra)
cs	Czech Lagrangeova věta (teorie grup)
de	German Satz von Lagrange
en	English Lagrange's theorem (group theory)
es	Spanish Teorema de Lagrange (teoría de grupos)
fa	Persian قضیه لاگرانژ (نظریه گروه‌ها)
fi	Finnish Lagrangen indeksilause
fr	French Théorème de Lagrange sur les groupes
gl	Galician Teorema de Lagrange (teoría de grupos)
he	Hebrew משפט לגראנז' (תורת החבורות)
hr	Croatian Lagrangeov teorem (teorija grupa)
id	Indonesian Teorema Lagrange (teori grup)
it	Italian Teorema di Lagrange (teoria dei gruppi)
ja	Japanese ラグランジュの定理 (群論)
ko	Korean 라그랑주 정리 (군론)
nl	Dutch Stelling van Lagrange (groepentheorie)
pl	Polish Twierdzenie Lagrange’a (teoria grup)
pt	Portuguese Teorema de Lagrange (teoria dos grupos)
ro	Romanian Teorema lui Lagrange (teoria grupurilor)
ru	Russian Теорема Лагранжа (теория групп)
sh	Serbo-Croatian Lagrangeova teorema (teorija grupa)
simple	Simple English Lagrange's theorem (group theory)
sk	Slovak Lagrangeova veta (teória grúp)
sr	Serbian Лагранжова теорема (теорија група)
sv	Swedish Lagranges sats
ta	Tamil லாக்ராஞ்சியின் தேற்றம்
th	Thai ทฤษฎีบทของลากร็องฌ์
tr	Turkish Lagrange teoremi (grup teorisi)
uk	Ukrainian Теорема Лагранжа (теорія груп)
vi	Vietnamese Định lý Lagrange (lý thuyết nhóm)
zh	Chinese 拉格朗日定理 (群論)

Popularity rank trends

Best Rank	English: #94089 11.2019	Global: #91453 01.2015

AI rank trends

Best Rank	English: #1027 06.2003	Global: #1431 06.2003

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 Lagrange's theorem from Wikipedia articles about Lagranges theorem, Eulers theorem, Joseph-Louis Lagrange, Fermats little theorem and Eulers totient function. Whereas reading the article about Lagrange's theorem people most often go to Wikipedia articles on Index of a subgroup, Coset, Joseph-Louis Lagrange, Lagranges theorem and Group theory.

Cumulative results of quality and popularity of the Wikipedia article

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

en: Lagrange's theorem (group theory)

ru: Теорема Лагранжа (теория групп)

de: Satz von Lagrange

fr: Théorème de Lagrange sur les groupes

es: Teorema de Lagrange (teoría de grupos)

ja: ラグランジュの定理 (群論)

zh: 拉格朗日定理 (群論)

it: Teorema di Lagrange (teoria dei gruppi)

pl: Twierdzenie Lagrange’a (teoria grup)

ro: Teorema lui Lagrange (teoria grupurilor)

fa: قضیه لاگرانژ (نظریه گروه‌ها)

pt: Teorema de Lagrange (teoria dos grupos)

he: משפט לגראנז' (תורת החבורות)

vi: Định lý Lagrange (lý thuyết nhóm)

ko: 라그랑주 정리 (군론)

nl: Stelling van Lagrange (groepentheorie)

cs: Lagrangeova věta (teorie grup)

ar: مبرهنة لاغرانج (نظرية الزمر)

sv: Lagranges sats

uk: Теорема Лагранжа (теорія груп)

fi: Lagrangen indeksilause

sr: Лагранжова теорема (теорија група)

sh: Lagrangeova teorema (teorija grupa)

simple: Lagrange's theorem (group theory)

id: Teorema Lagrange (teori grup)

ta: லாக்ராஞ்சியின் தேற்றம்

sk: Lagrangeova veta (teória grúp)

ca: Teorema de Lagrange (àlgebra)

hr: Lagrangeov teorem (teorija grupa)

tr: Lagrange teoremi (grup teorisi)

th: ทฤษฎีบทของลากร็องฌ์

gl: Teorema de Lagrange (teoría de grupos)

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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

Quality and popularity assessment of Wikipedia

Lagrange's theorem (group theory)