Definition:Complex (Abstract Algebra)

Definition
Let $$\left({G, \cdot}\right)$$ be a group.

Let $$A, B \subseteq G$$ be subsets of $$G$$.

The complex $$A \cdot B$$ be defined as in the subset product of two subsets of an algebraic structure:
 * $$A \cdot B = \left\{{a \cdot b: a \in A, b \in B}\right\}$$