Definition:Opposite Group

Theorem

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

We define a new product $*$ on $G$ by:

$\forall a, b \in G: a * b = b \circ a$

The algebraic structure $\struct {G, *}$ is called the opposite group to $G$.

Also see

• Results about opposite groups can be found here.