A group operation is the binary operation with respect to which a group is defined. For a group 
, the group operation combines any two group
elements 
to produce another group element, commonly written 
, 
, or 
. The operation is associative
and has an identity element. Each group element
also has an inverse element.
Group Operation
See also
Associative, Binary Operation, Group, Group Element, Identity Element, Inverse ElementExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Group Operation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/GroupOperation.html