# Contents

## Definition

An action

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

of a group $G$ on a set $X$ is transitive if for every $x\in X$ the morphisms

${\rho }_{x}:G\to X$\rho_x : G \to X

is an epimorphism, i.e. for every two points $x,x\prime$ there exists $g\in G$ such that $x\prime =gx$.

Revised on November 30, 2011 21:42:40 by Zoran Škoda (161.53.130.104)