👉 In mathematics, a group is an algebraic structure consisting of a set together with two operations (addition and multiplication) that satisfy certain axioms. These operations are called "group laws." The set must also be closed under the specified operations and have an identity element. A group is often denoted by "G" or "a" unless it's explicitly stated to be a specific type of object, such as a cyclic group. For example, in the ring $\mathbb{Z}_