Cayley's theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo finite groups
infinite groups
gptkbp:field group theory
https://www.w3.org/2000/01/rdf-schema#label Cayley's theorem
gptkbp:importantFor fundamental result in abstract algebra
gptkbp:namedAfter gptkb:Arthur_Cayley
gptkbp:publicationYear 1854
gptkbp:publishedIn gptkb:Philosophical_Magazine
gptkbp:relatedTo gptkb:group_of_people
permutation group
group isomorphism
gptkbp:state Every group is isomorphic to a subgroup of a symmetric group
gptkbp:bfsParent gptkb:Group_theory
gptkbp:bfsLayer 5