If G is a group and X a set, then X is called a left G-Set if there exists a mapping λ:G×XX with


or shorter with λ(g,x)=gx


for all xX and g1,g2G. And when G acts on a set X, the set X is always a G-set.

X is called a right G-Set if there exists a mapping λ:X×GX with

Title G-Set
Canonical name GSet
Date of creation 2013-03-22 17:55:44
Last modified on 2013-03-22 17:55:44
Owner jwaixs (18148)
Last modified by jwaixs (18148)
Numerical id 5
Author jwaixs (18148)
Entry type Definition
Classification msc 20-00
Related topic GroupAction