Podgrupa charakterystyczna

pl

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Podgrupa charakterystyczna

Quality:

Characteristic subgroup - mathematical subgroup that is mapped to itself by every automorphism of the parent group. Article "Podgrupa charakterystyczna" in Polish Wikipedia has 15.7 points for quality (as of November 1, 2023). The article contains 0 references and 11 sections.

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

Since the creation of article "Podgrupa charakterystyczna", its content was written by 11 registered users of Polish Wikipedia and edited by 147 registered Wikipedia users in all languages.

The article is cited 17 times in Polish Wikipedia and cited 305 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Polish): #18886 in May 2007
  • Global: #1108 in February 2002

The highest popularity rank from 2008:

  • Local (Polish): #127732 in February 2008
  • Global: #453794 in October 2008

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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1Indonesian (id)
Subgrup karakteristik
28.3015
2English (en)
Characteristic subgroup
28.0493
3Persian (fa)
زیرگروه مشخصه
20.5986
4French (fr)
Sous-groupe caractéristique
17.8951
5Polish (pl)
Podgrupa charakterystyczna
15.7245
6Japanese (ja)
特性部分群
13.9186
7German (de)
Charakteristische Untergruppe
11.9481
8Korean (ko)
특성 부분군
5.164
9Hungarian (hu)
Karakterisztikus részcsoport
4.4906
10Russian (ru)
Характеристическая подгруппа
4.4205
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 "Podgrupa charakterystyczna" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Characteristic subgroup
194 842
2French (fr)
Sous-groupe caractéristique
24 032
3German (de)
Charakteristische Untergruppe
22 054
4Polish (pl)
Podgrupa charakterystyczna
17 954
5Italian (it)
Sottogruppo caratteristico
12 453
6Russian (ru)
Характеристическая подгруппа
11 344
7Japanese (ja)
特性部分群
6 138
8Dutch (nl)
Karakteristieke ondergroep
2 734
9Ukrainian (uk)
Характеристична підгрупа
2 634
10Hungarian (hu)
Karakterisztikus részcsoport
1 851
More...

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

Most popular in October 2023

The most popular language versions of the article "Podgrupa charakterystyczna" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Characteristic subgroup
1 390
2French (fr)
Sous-groupe caractéristique
205
3Italian (it)
Sottogruppo caratteristico
113
4Russian (ru)
Характеристическая подгруппа
67
5German (de)
Charakteristische Untergruppe
64
6Japanese (ja)
特性部分群
43
7Ukrainian (uk)
Характеристична підгрупа
19
8Indonesian (id)
Subgrup karakteristik
17
9Polish (pl)
Podgrupa charakterystyczna
17
10Korean (ko)
특성 부분군
8
More...

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

The highest AI

Language versions of the article "Podgrupa charakterystyczna" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Characteristic subgroup
47
2German (de)
Charakteristische Untergruppe
20
3French (fr)
Sous-groupe caractéristique
18
4Russian (ru)
Характеристическая подгруппа
14
5Italian (it)
Sottogruppo caratteristico
12
6Polish (pl)
Podgrupa charakterystyczna
11
7Hungarian (hu)
Karakterisztikus részcsoport
7
8Ukrainian (uk)
Характеристична підгрупа
7
9Dutch (nl)
Karakteristieke ondergroep
6
10Japanese (ja)
特性部分群
2
More...

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

The highest AI in October 2023

Language versions of the article "Podgrupa charakterystyczna" with the highest AI in October 2023
#LanguageAI awardRelative AI
1German (de)
Charakteristische Untergruppe
0
2English (en)
Characteristic subgroup
0
3Persian (fa)
زیرگروه مشخصه
0
4French (fr)
Sous-groupe caractéristique
0
5Hungarian (hu)
Karakterisztikus részcsoport
0
6Indonesian (id)
Subgrup karakteristik
0
7Italian (it)
Sottogruppo caratteristico
0
8Japanese (ja)
特性部分群
0
9Korean (ko)
특성 부분군
0
10Dutch (nl)
Karakteristieke ondergroep
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 "Podgrupa charakterystyczna" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Sottogruppo caratteristico
163
2English (en)
Characteristic subgroup
40
3French (fr)
Sous-groupe caractéristique
24
4Polish (pl)
Podgrupa charakterystyczna
17
5German (de)
Charakteristische Untergruppe
14
6Japanese (ja)
特性部分群
11
7Russian (ru)
Характеристическая подгруппа
8
8Ukrainian (uk)
Характеристична підгрупа
8
9Indonesian (id)
Subgrup karakteristik
7
10Korean (ko)
특성 부분군
6
More...

Scores

Estimated value for Wikipedia:
Polish:
Global:
Popularity in October 2023:
Polish:
Global:
Popularity in all years:
Polish:
Global:
Authors in October 2023:
Polish:
Global:
Registered authors in all years:
Polish:
Global:
Citations:
Polish:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Charakteristische Untergruppe
enEnglish
Characteristic subgroup
faPersian
زیرگروه مشخصه
frFrench
Sous-groupe caractéristique
huHungarian
Karakterisztikus részcsoport
idIndonesian
Subgrup karakteristik
itItalian
Sottogruppo caratteristico
jaJapanese
特性部分群
koKorean
특성 부분군
nlDutch
Karakteristieke ondergroep
plPolish
Podgrupa charakterystyczna
ruRussian
Характеристическая подгруппа
ukUkrainian
Характеристична підгрупа

Popularity rank trends

Best Rank Polish:
#127732
02.2008
Global:
#453794
10.2008

AI rank trends

Best Rank Polish:
#18886
05.2007
Global:
#1108
02.2002

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Characteristic subgroup from Wikipedia articles about Normal subgroup, Center, Commutator subgroup, Torsion subgroup and Frattini subgroup. Whereas reading the article about Characteristic subgroup people most often go to Wikipedia articles on Commutator subgroup, Inner automorphism, Automorphism, Verbal subgroup and Normal subgroup.

Cumulative results of quality and popularity of the Wikipedia article

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

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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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information