Given a group action of a group \(G\) and a set \(X\). The action is said to be free if \(g\cdot x=x\) for some \(x\in X\) implies \(g=1\), that is, if the only element of \(G\) that fixes any point in \(X\) is the identity.
Given a group action of a group \(G\) and a set \(X\). The action is said to be free if \(g\cdot x=x\) for some \(x\in X\) implies \(g=1\), that is, if the only element of \(G\) that fixes any point in \(X\) is the identity.