Definition:Opposite Group

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Theorem

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

We define a new operation $*$ 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.


Sources