# permutation group

A is a pair $(G,X)$ where $G$ is an abstract group, and $X$ is a set on which $G$ acts faithfully. Alternatively, this can be thought of as a group $G$ equipped with a homomorphism in to $\mathrm{Sym}(X)$, the symmetric group on $X$.

Title permutation group PermutationGroup 2013-03-22 13:16:34 2013-03-22 13:16:34 bwebste (988) bwebste (988) 5 bwebste (988) Definition msc 20B05