Definition:Opposite Group

From ProofWiki
Jump to navigation Jump to search

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.


Sources