Suppose \(\Gamma\) is a subgroup of a topological group \(G\). Then group multiplication on the left or right defines a left or right action of \(\Gamma\) on \(G\). The action is continuous and free .
Remarks
Suppose \(\Gamma\) is a subgroup of a topological group \(G\). Then group multiplication on the left or right defines a left or right action of \(\Gamma\) on \(G\). The action is continuous and free .