Burnside's lemma (Q1330377)
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lemma stating that, given a finite group G acting on a set, the number of orbits times |G| equals the sum (over every element of G) of the numbers of fixed points
- Burnside's counting theorem
- Cauchy–Frobenius lemma
- Cauchy-Frobenius lemma
- orbit-counting theorem
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Burnside's lemma |
lemma stating that, given a finite group G acting on a set, the number of orbits times |G| equals the sum (over every element of G) of the numbers of fixed points |
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Statements
Burnside's lemma (English)
лемма Бёрнсайда (Russian)
0 references
Cauchy–Frobenius lemma (English)
лемма Коши — Фробениуса (Russian)
0 references
Cauchy–Frobenius lemma (English)
лемма Коши — Фробениуса (Russian)
0 references
0 references
Identifiers
Sitelinks
Wikipedia(17 entries)
- dewiki Lemma von Burnside
- enwiki Burnside's lemma
- eswiki Lema de Burnside
- fawiki لم برنساید
- frwiki Lemme de Burnside
- hewiki הלמה של ברנסייד
- jawiki バーンサイドの補題
- kowiki 번사이드 보조정리
- nlwiki Lemma van Burnside
- plwiki Lemat Burnside’a
- rowiki Lema lui Burnside
- ruwiki Лемма Бёрнсайда
- svwiki Burnsides lemma
- tawiki பர்ன்ஸைட்-ஃப்ரொபீனியஸ் கொற்கோள்
- ukwiki Лема Бернсайда
- viwiki Bổ đề Burnside
- zhwiki 伯恩赛德引理