  An action of a compact, in particular finite group on a C*-algebra is called
properly outer if no automorphism of the group that is distinct from identity
is implemented by a unitary element of the algebra of local multipliers of the
C*-algebra. In this paper I define the notion of strictly outer action (similar
to the definition for von Neumann factors in [11]) and prove that for finite
groups it is equivalent with proper outerness of the action. For finite abelian
groups this is equivalent with other relevant properities of the action.
