Wikidata

(Q1330377)

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

  • Burnside's counting theorem
  • Cauchy–Frobenius lemma
  • Cauchy-Frobenius lemma
  • orbit-counting theorem
In more languages

Statements

instance of
theorem
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named after
William Burnside
applies to name of subject
Burnside's lemma (English)
лемма Бёрнсайда (Russian)
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Augustin-Louis Cauchy
applies to name of subject
Cauchy–Frobenius lemma (English)
лемма Коши — Фробениуса (Russian)
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Ferdinand Georg Frobenius
applies to name of subject
Cauchy–Frobenius lemma (English)
лемма Коши — Фробениуса (Russian)
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defining formula
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in defining formula
symbol represents
group
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symbol represents
set
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symbol represents
group order
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symbol represents
fixed point
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symbol represents
orbit of a group action
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Identifiers

 
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