Group actions refer to the collective behavior of a set of individuals acting together, often to achieve a common goal. This concept is commonly seen in social movements, where people unite to advocate for change, such as in civil rights or environmental protection. Group actions can also occur in organizations, where teams collaborate to complete projects or solve problems. In mathematics, group actions describe how a group, which is a set of elements with a specific operation, can act on another set. This interaction helps to understand the structure and properties of both the group and the set. For example, in geometry, group actions can illustrate how shapes can be transformed through rotations and reflections.