Hegemony
In the 19th century, hegemony came to denote the "Social or cultural predominance or ascendancy; predominance by one group within a society or milieu". Later, it could be used to mean "a group or regime which exerts undue influence within a society". Also, it could be used for the geopolitical and the cultural predominance of one country over others, from which was derived "hegemonism", as in the idea that the Great Powers meant to establish European hegemony over Asia and Africa.
Hegemony
Pentagon strategist Edward Luttwak, in "The Grand Strategy of the Roman Empire", outlined three stages, with hegemonic being the first, followed by imperial. In his view the transformation proved to be fatal and eventually led to the fall of the Roman Empire. His book gives implicit advice to Washington to continue the present hegemonic strategy and refrain from establishing an empire.