In abstract algebra, a generating set of a group G is a subset "S" such that every element of "G" can be expressed as the product of finitely many elements of "S" and their inverses.
In abstract algebra, a generating set of a group is a subset that is not contained in any proper subgroup of the group. Equivalently, a generating set of a group is a subset such that every element of the group can be expressed as the product of finitely many elements of the subset and their inverses.