Parity of a permutation

Parity of a permutation - group homomorphism from the symmetric group over a finite set to the two-element group {±1}. Article “Parity of a permutation” in English Wikipedia has 27.7 points for quality (as of July 1, 2026). The article contains 10 references and 8 sections.

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

In June 2026 the article “Parity of a permutation” was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Parity of a permutation”, its content was written by 99 registered users of English Wikipedia and edited by 262 registered Wikipedia users in all languages.

The article is cited 138 times in English Wikipedia and cited 520 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #2073 in April 2002
• Global: #2646 in April 2002

The highest popularity rank from 2008:

• Local (English): #142402 in October 2020
• Global: #158343 in October 2020

There are 17 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, 2026 (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	Tamil (ta) ஒற்றை, இரட்டை வரிசைமாற்றங்கள்		30.1377
2	German (de) Vorzeichen (Permutation)		29.4603
3	English (en) Parity of a permutation		27.7186
4	Swedish (sv) Paritet (permutationer)		25.8099
5	Chinese (zh) 置换的奇偶性		18.8965
6	Romanian (ro) Paritatea unei permutări		12.355
7	Slovenian (sl) Parnost permutacije		11.9721
8	Japanese (ja) 置換の符号		10.3272
9	Czech (cs) Znaménko permutace		9.9206
10	Catalan (ca) Paritat d'una permutació		9.176

More...

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

The most popular language versions of the article "Parity of a permutation" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Parity of a permutation		998 662
2	German (de) Vorzeichen (Permutation)		198 791
3	French (fr) Signature d'une permutation		171 939
4	Romanian (ro) Paritatea unei permutări		74 064
5	Chinese (zh) 置换的奇偶性		51 372
6	Spanish (es) Paridad de una permutación		47 334
7	Czech (cs) Znaménko permutace		31 028
8	Japanese (ja) 置換の符号		29 838
9	Portuguese (pt) Paridade de uma permutação		20 314
10	Slovenian (sl) Parnost permutacije		7 193

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 "Parity of a permutation" in June 2026

#	Language	Popularity award	Relative popularity
1	English (en) Parity of a permutation		2 042
2	French (fr) Signature d'une permutation		407
3	German (de) Vorzeichen (Permutation)		312
4	Japanese (ja) 置換の符号		212
5	Chinese (zh) 置换的奇偶性		196
6	Spanish (es) Paridad de una permutación		65
7	Czech (cs) Znaménko permutace		36
8	Swedish (sv) Paritet (permutationer)		30
9	Romanian (ro) Paritatea unei permutări		25
10	Portuguese (pt) Paridade de uma permutação		17

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

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

#	Language	AI award	Relative AI
1	English (en) Parity of a permutation		99
2	French (fr) Signature d'une permutation		47
3	German (de) Vorzeichen (Permutation)		33
4	Czech (cs) Znaménko permutace		11
5	Spanish (es) Paridad de una permutación		11
6	Hungarian (hu) Permutáció paritása		9
7	Swedish (sv) Paritet (permutationer)		9
8	Japanese (ja) 置換の符号		7
9	Portuguese (pt) Paridade de uma permutação		7
10	Romanian (ro) Paritatea unei permutări		7

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

Language versions of the article "Parity of a permutation" with the highest AI in June 2026

#	Language	AI award	Relative AI
1	English (en) Parity of a permutation		2
2	Arabic (ar) زوجية تبديلة (رياضيات)		1
3	Catalan (ca) Paritat d'una permutació		0
4	Czech (cs) Znaménko permutace		0
5	German (de) Vorzeichen (Permutation)		0
6	Spanish (es) Paridad de una permutación		0
7	French (fr) Signature d'une permutation		0
8	Hungarian (hu) Permutáció paritása		0
9	Japanese (ja) 置換の符号		0
10	Norwegian (Nynorsk) (nn) Paritet		0

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

Language versions of the article "Parity of a permutation" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Parity of a permutation		138
2	French (fr) Signature d'une permutation		63
3	Romanian (ro) Paritatea unei permutări		59
4	German (de) Vorzeichen (Permutation)		57
5	Japanese (ja) 置換の符号		42
6	Spanish (es) Paridad de una permutación		39
7	Chinese (zh) 置换的奇偶性		36
8	Slovenian (sl) Parnost permutacije		18
9	Portuguese (pt) Paridade de uma permutação		17
10	Swedish (sv) Paritet (permutationer)		12

More...

#	Language	Value
ar	Arabic زوجية تبديلة (رياضيات)
ca	Catalan Paritat d'una permutació
cs	Czech Znaménko permutace
de	German Vorzeichen (Permutation)
en	English Parity of a permutation
es	Spanish Paridad de una permutación
fr	French Signature d'une permutation
hu	Hungarian Permutáció paritása
ja	Japanese 置換の符号
nn	Norwegian (Nynorsk) Paritet
pt	Portuguese Paridade de uma permutação
ro	Romanian Paritatea unei permutări
sl	Slovenian Parnost permutacije
sv	Swedish Paritet (permutationer)
ta	Tamil ஒற்றை, இரட்டை வரிசைமாற்றங்கள்
uk	Ukrainian Парність перестановки
zh	Chinese 置换的奇偶性

Best Rank

English: #142402 10.2020

Global: #158343 10.2020

Best Rank

English: #2073 04.2002

Global: #2646 04.2002

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information