to any other element in the set, the action is called [18]. Stabilizer : The subgroup of consisting of all elements that leave exactly where it is ( 4. Modern Applications Beyond pure mathematics, group actions are critical in:
When studying an action, mathematicians typically look for two things: : The set of all places a specific element can be moved to by the group. If the group can move group action
: Used to describe the laws of symmetry in particle physics and quantum mechanics, such as generating Bell inequalities [20]. to any other element in the set, the action is called [18]