Definition:Normal Subset/Definition 1

Definition

Let $\struct {G, \circ}$ be a group.

Let $S \subseteq G$ be a general subset of $G$.

Then $S$ is a normal subset of $G$ if and only if:

$\forall g \in G: g \circ S = S \circ g$

Also see

• Equivalence of Definitions of Normal Subset