Circle group

Complex unit circle - set of complex numbers whose absolute value is equal 1; Lie group of complex numbers of unit modulus; topologically a circle. Article “Circle group” in English Wikipedia has 31.1 points for quality (as of July 1, 2025). The article contains 2 references and 11 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 “Circle group”, its content was written by 74 registered users of English Wikipedia and edited by 213 registered Wikipedia users in all languages.

The article is cited 366 times in English Wikipedia and cited 1106 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #24127 in October 2021
• Global: #63839 in October 2021

The highest popularity rank from 2008:

• Local (English): #216347 in November 2014
• Global: #286883 in November 2014

There are 13 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.

#	Language	Quality grade	Quality score
1	English (en) Circle group		31.1138
2	German (de) Kreisgruppe		23.7079
3	Chinese (zh) 圓群		21.4547
4	Catalan (ca) Grup circular		20.4422
5	Polish (pl) Grupa okręgu		18.687
6	Arabic (ar) زمرة الدائرة		11.7827
7	Korean (ko) 원군		10.7539
8	Japanese (ja) 円周群		9.6444
9	Russian (ru) U(1)		7.4859
10	Spanish (es) Grupo circular		7.1645

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Circle group" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Circle group		638 094
2	German (de) Kreisgruppe		48 748
3	Russian (ru) U(1)		47 444
4	Spanish (es) Grupo circular		28 359
5	Chinese (zh) 圓群		23 271
6	Italian (it) Gruppo circolare		22 983
7	Japanese (ja) 円周群		21 650
8	Polish (pl) Grupa okręgu		7 131
9	Dutch (nl) Cirkelgroep		6 449
10	Arabic (ar) زمرة الدائرة		3 875

More...

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

The most popular language versions of the article "Circle group" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Circle group		3 103
2	German (de) Kreisgruppe		188
3	Japanese (ja) 円周群		170
4	Russian (ru) U(1)		145
5	Chinese (zh) 圓群		140
6	Italian (it) Gruppo circolare		52
7	Polish (pl) Grupa okręgu		31
8	Spanish (es) Grupo circular		30
9	Korean (ko) 원군		20
10	Arabic (ar) زمرة الدائرة		19

More...

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

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

#	Language	AI award	Relative AI
1	English (en) Circle group		74
2	German (de) Kreisgruppe		27
3	Italian (it) Gruppo circolare		26
4	Russian (ru) U(1)		19
5	Dutch (nl) Cirkelgroep		15
6	Chinese (zh) 圓群		12
7	Polish (pl) Grupa okręgu		11
8	Spanish (es) Grupo circular		9
9	Japanese (ja) 円周群		6
10	Korean (ko) 원군		5

More...

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

Language versions of the article "Circle group" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Italian (it) Gruppo circolare		1
2	Arabic (ar) زمرة الدائرة		0
3	Catalan (ca) Grup circular		0
4	German (de) Kreisgruppe		0
5	English (en) Circle group		0
6	Spanish (es) Grupo circular		0
7	Japanese (ja) 円周群		0
8	Korean (ko) 원군		0
9	Dutch (nl) Cirkelgroep		0
10	Polish (pl) Grupa okręgu		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Circle group" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Circle group		366
2	Polish (pl) Grupa okręgu		186
3	Japanese (ja) 円周群		96
4	Ukrainian (uk) U(1)		82
5	Chinese (zh) 圓群		59
6	Korean (ko) 원군		57
7	Arabic (ar) زمرة الدائرة		55
8	Russian (ru) U(1)		54
9	German (de) Kreisgruppe		49
10	Spanish (es) Grupo circular		42

More...

#	Language	Value
ar	Arabic زمرة الدائرة
ca	Catalan Grup circular
de	German Kreisgruppe
en	English Circle group
es	Spanish Grupo circular
it	Italian Gruppo circolare
ja	Japanese 円周群
ko	Korean 원군
nl	Dutch Cirkelgroep
pl	Polish Grupa okręgu
ru	Russian U(1)
uk	Ukrainian U(1)
zh	Chinese 圓群

Best Rank

English: #216347 11.2014

Global: #286883 11.2014

Best Rank

English: #24127 10.2021

Global: #63839 10.2021

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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