Burnside's lemma (Q6672129)
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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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