Burnside's lemma
Sign in to saveAlso known as Burnside's counting theorem, Cauchy–Frobenius lemma, Cauchy-Frobenius lemma, orbit-counting theorem
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
In the Vinony graph
Within Vinony's link graph, Burnside's lemma is referenced by 31 other articles, and connects out to group action, conjugacy class and Augustin-Louis Cauchy.
It is catalogued under the topic Lemmas in group theory.
Its subject is documented across 17 Wikipedia language editions.
Wikidata facts
- Instance of
- theorem
- Named after
- Ferdinand Georg Frobenius
Show 3 more facts
- discoverer or inventor
- Ferdinand Georg Frobenius
- copyright status
- public domain
- maintained by WikiProject
- WikiProject Mathematics
Sources (1)
via Wikidata · CC0
Connections
group action
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conjugacy class
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Augustin-Louis Cauchy
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fixed point
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International Standard Book Number
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natural number
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infinity
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set
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cube
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digital object identifier
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symmetry
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International Standard Serial Number
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group
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Internet Archive
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group theory
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Project Gutenberg
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bijection
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equivalence relation
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Cambridge University Press
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finite set
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