Free product

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Free product

Quality:

Free product - operation that takes two groups G and H and constructs a new group G ∗ H. Article “Free product” in English Wikipedia has 18.6 points for quality (as of July 1, 2025). The article contains 2 references and 7 sections.

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

Since the creation of article “Free product”, its content was written by 53 registered users of English Wikipedia and edited by 139 registered Wikipedia users in all languages.

The article is cited 215 times in English Wikipedia and cited 487 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #31233 in May 2004
  • Global: #64201 in November 2003

The highest popularity rank from 2008:

  • Local (English): #372288 in October 2012
  • Global: #476818 in December 2008

There are 12 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
1German (de)
Freies Produkt
22.4414
2English (en)
Free product
18.616
3French (fr)
Produit libre
16.606
4Italian (it)
Prodotto libero
15.7722
5Chinese (zh)
自由積
12.1304
6Ukrainian (uk)
Вільний добуток
12.0436
7Korean (ko)
자유곱
10.2104
8Hebrew (he)
מכפלה חופשית
9.4136
9Japanese (ja)
自由積
8.0623
10Vietnamese (vi)
Tích tự do
5.8649
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 "Free product" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Free product
333 508
2French (fr)
Produit libre
26 444
3German (de)
Freies Produkt
25 160
4Russian (ru)
Свободное произведение
17 580
5Spanish (es)
Producto libre de grupos
15 199
6Japanese (ja)
自由積
15 022
7Italian (it)
Prodotto libero
12 884
8Chinese (zh)
自由積
6 105
9Korean (ko)
자유곱
2 484
10Hebrew (he)
מכפלה חופשית
2 266
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 "Free product" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Free product
1 922
2Japanese (ja)
自由積
165
3French (fr)
Produit libre
110
4German (de)
Freies Produkt
83
5Chinese (zh)
自由積
81
6Russian (ru)
Свободное произведение
73
7Spanish (es)
Producto libre de grupos
53
8Italian (it)
Prodotto libero
50
9Korean (ko)
자유곱
18
10Hebrew (he)
מכפלה חופשית
17
More...

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

The highest AI

Language versions of the article "Free product" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Free product
53
2German (de)
Freies Produkt
22
3French (fr)
Produit libre
20
4Italian (it)
Prodotto libero
9
5Russian (ru)
Свободное произведение
8
6Spanish (es)
Producto libre de grupos
7
7Hebrew (he)
מכפלה חופשית
5
8Ukrainian (uk)
Вільний добуток
5
9Korean (ko)
자유곱
4
10Chinese (zh)
自由積
3
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 "Free product" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Freies Produkt
0
2English (en)
Free product
0
3Spanish (es)
Producto libre de grupos
0
4French (fr)
Produit libre
0
5Hebrew (he)
מכפלה חופשית
0
6Italian (it)
Prodotto libero
0
7Japanese (ja)
自由積
0
8Korean (ko)
자유곱
0
9Russian (ru)
Свободное произведение
0
10Ukrainian (uk)
Вільний добуток
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 "Free product" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Free product
215
2French (fr)
Produit libre
69
3Russian (ru)
Свободное произведение
68
4Spanish (es)
Producto libre de grupos
22
5Korean (ko)
자유곱
22
6Japanese (ja)
自由積
21
7German (de)
Freies Produkt
20
8Hebrew (he)
מכפלה חופשית
14
9Chinese (zh)
自由積
14
10Italian (it)
Prodotto libero
10
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
deGerman
Freies Produkt
enEnglish
Free product
esSpanish
Producto libre de grupos
frFrench
Produit libre
heHebrew
מכפלה חופשית
itItalian
Prodotto libero
jaJapanese
自由積
koKorean
자유곱
ruRussian
Свободное произведение
ukUkrainian
Вільний добуток
viVietnamese
Tích tự do
zhChinese
自由積

Popularity rank trends

Best Rank English:
#372288
10.2012
Global:
#476818
12.2008

AI rank trends

Best Rank English:
#31233
05.2004
Global:
#64201
11.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Free product from Wikipedia articles about Coproduct, Seifert–van Kampen theorem, Pushout, Free group and Free probability. Whereas reading the article about Free product people most often go to Wikipedia articles on Seifert–van Kampen theorem, Coproduct, HNN extension, Free group and Modular group.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

On 28 January 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2025–26 UEFA Champions League, Nipah virus, Doomsday Clock, UEFA Champions League, Elena Rybakina, Donald Trump, 2026 European Men's Handball Championship, killing of Alex Pretti, Kristi Noem, deaths in 2026.

In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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