Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
group theory result |
| gptkbp:alsoKnownAs |
gptkb:Burnside's_lemma
|
| gptkbp:appliesTo |
finite sets
finite group actions |
| gptkbp:describes |
number of orbits of a group action
|
| gptkbp:field |
group theory
combinatorics |
| gptkbp:form |
|X/G| = (1/|G|) ∑_{g∈G} |Fix(g)|
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cauchy-Frobenius lemma
|
| gptkbp:namedAfter |
gptkb:Augustin-Louis_Cauchy
gptkb:Ferdinand_Georg_Frobenius |
| gptkbp:publishedIn |
19th century
|
| gptkbp:relatedTo |
gptkb:Polya_enumeration_theorem
orbit-stabilizer theorem |
| gptkbp:usedFor |
counting distinct colorings
enumeration under symmetry |
| gptkbp:bfsParent |
gptkb:Burnside's_lemma
|
| gptkbp:bfsLayer |
6
|