Group theory MOC

Permutation group

A permutation group is a concept with an attitude essentially corresponding to a faithful group action. Specifically, a permutation group is a subgroup of the symmetric group for some ground set . #m/def/group Since by Cayley's theorem every group can be made into a permutation group, the point is that is equipped with a canonical action on .

Terminology

• -transitive permutation group

#state/tidy | #lang/en | #SemBr