Category:Inversion Mappings

From ProofWiki
Jump to navigation Jump to search

This category contains results about Inversion Mappings.


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


The inversion mapping on $G$ is the mapping $\iota: G \to G$ defined by:

$\forall g \in G: \iota \left({g}\right) = g^{-1}$


That is, $\iota$ assigns to an element of $G$ its inverse.