Klein four-group

The Klein four-group is a simple mathematical structure with four elements, where combining any two different elements results in the third element, and combining any element with itself gives the identity or "do nothing." Imagine it like a set of four operations or states that interact in a predictable way: doing two different actions in sequence is the same as doing a third specific action, and each action has an opposite that undoes it. This group is used in mathematics to study symmetry and structure, especially when analyzing objects with certain symmetrical properties.