permutation group

A permutation groupMathworldPlanetmath 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 homomorphismPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath in to Sym(X), the symmetric groupMathworldPlanetmathPlanetmath on X.

Title permutation group
Canonical name PermutationGroup
Date of creation 2013-03-22 13:16:34
Last modified on 2013-03-22 13:16:34
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 5
Author bwebste (988)
Entry type Definition
Classification msc 20B05