Group (mathematics)

Group theory is a powerful formal method for analyzing abstract and physical systems in which symmetry is present and has surprising importance in physics, especially quantum mechanics.
 In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element.

To qualify as a group, the set and the operation must satisfy a few conditions called group axioms, namely closure, associativity, identity and invertibility

Groups share a fundamental kinship with the notion of symmetry

The concept of a group arose from the study of polynomial equations

 

The possible manipulations of this Rubik's Cube form a group.

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