Consider who is in control and who is being dominated when you use 'hegemony'. After the war, the country's hegemony over the region was undisputed.
Pro Tip 2/3
Overlap Allowed
Hegemony can involve economic, cultural, and military aspects all at once. The empire extended its hegemony across all aspects of society, from culture to commerce.
Pro Tip 3/3
Not Always Forceful
'Hegemony' often implies consent of the dominated, not just coercion. The leading nation maintained its hegemony not by force, but through strategic alliances.