noun

the exercise of power or influence over someone or something, or the state of being so controlled.

the imperial domination of India

rule,government,sovereignty,control,command,authority,power,dominion,dominance,mastery,supremacy,superiority,ascendancy,sway,influence,tyranny,intimidation,oppression,suppression,subjugation,dictatorship,the upper hand,the whip hand,the edge,paramountcy,prepotence,prepotency,prepollency