Contents

Definition

An action

$\rho :G×X\to X$\rho : G \times X \to X

of a group $G$ on a set $X$ is free if for every $x\in X$ and every $g\in G$, the equation $gx=x$ implies $g={1}_{G}$.

Revised on September 25, 2012 18:10:37 by Tim Porter (95.147.237.67)