Hilbert–Smith conjecture

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Hilbert–Smith conjecture

Quality:

Hilbert–Smith conjecture - conjecture that a locally compact topological group acting continuously and faithfully on a manifold must be a Lie group. Article “Hilbert–Smith conjecture” in English Wikipedia has 14.5 points for quality (as of July 1, 2025). The article contains 4 references and 2 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 “Hilbert–Smith conjecture”, its content was written by 31 registered users of English Wikipedia and edited by 39 registered Wikipedia users in all languages.

The article is cited 15 times in English Wikipedia and cited 25 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #18604 in October 2021
  • Global: #82214 in October 2021

The highest popularity rank from 2008:

  • Local (English): #1011889 in February 2009
  • Global: #1687000 in February 2009

There are 4 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)
Hilbert-Smith-Vermutung
20.935
2English (en)
Hilbert–Smith conjecture
14.5145
3French (fr)
Conjecture de Hilbert-Smith
13.9061
4Chinese (zh)
希尔伯特-史密斯猜想
2.6744
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 "Hilbert–Smith conjecture" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hilbert–Smith conjecture
71 283
2Chinese (zh)
希尔伯特-史密斯猜想
1 635
3French (fr)
Conjecture de Hilbert-Smith
942
4German (de)
Hilbert-Smith-Vermutung
104
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 "Hilbert–Smith conjecture" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hilbert–Smith conjecture
414
2Chinese (zh)
希尔伯特-史密斯猜想
30
3French (fr)
Conjecture de Hilbert-Smith
28
4German (de)
Hilbert-Smith-Vermutung
6
More...

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

The highest AI

Language versions of the article "Hilbert–Smith conjecture" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hilbert–Smith conjecture
31
2French (fr)
Conjecture de Hilbert-Smith
4
3Chinese (zh)
希尔伯特-史密斯猜想
3
4German (de)
Hilbert-Smith-Vermutung
1
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 "Hilbert–Smith conjecture" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Hilbert-Smith-Vermutung
0
2English (en)
Hilbert–Smith conjecture
0
3French (fr)
Conjecture de Hilbert-Smith
0
4Chinese (zh)
希尔伯特-史密斯猜想
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 "Hilbert–Smith conjecture" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hilbert–Smith conjecture
15
2French (fr)
Conjecture de Hilbert-Smith
7
3German (de)
Hilbert-Smith-Vermutung
2
4Chinese (zh)
希尔伯特-史密斯猜想
1
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
Hilbert-Smith-Vermutung
enEnglish
Hilbert–Smith conjecture
frFrench
Conjecture de Hilbert-Smith
zhChinese
希尔伯特-史密斯猜想

Popularity rank trends

Best Rank English:
#1011889
02.2009
Global:
#1687000
02.2009

AI rank trends

Best Rank English:
#18604
10.2021
Global:
#82214
10.2021

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hilbert–Smith conjecture from Wikipedia articles about Hilberts problems, John Pardon, Hilberts fifth problem, List of unsolved problems in mathematics and Lie group. Whereas reading the article about Hilbert–Smith conjecture people most often go to Wikipedia articles on John Pardon, Hilberts fifth problem, Paul A. Smith, Lie group and Cohomological dimension.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 9 December 2025

On 9 December 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Stranger Things, 2026 FIFA World Cup, Lando Norris, Millie Bobby Brown, Sean Combs, It: Welcome to Derry, ChatGPT, Zootopia 2, deaths in 2025, Cassie Ventura.

In English Wikipedia the most popular articles on that day were: Dhurandhar, Philip Rivers, Google Chrome, Rehman Dakait, Sean Combs, It – Welcome to Derry, Deaths in 2025, Lando Norris, Bruce Lee, Cassie Ventura.

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