If a map from a group to a group satisfies for all , then is said to be an antihomomorphism.
Antihomomorphism
See also
AntiautomorphismExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Antihomomorphism." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Antihomomorphism.html