verb

have power and influence over.

the company dominates the market for operating system software

control,influence,exercise control over,be in control of,command,be in command of,be in charge of,rule,govern,direct,be the boss of,preside over,have ascendancy over,have mastery over,master,have the upper hand over,subjugate,hegemonize,domineer,tyrannize,oppress,bully,intimidate,have the whip hand over,push about,push around,boss (about),boss (around),ride roughshod over,trample on,have under one’s thumb,head up,call the shots,call the tune,be in the driver’s seat,be in the saddle,be at the helm,rule the roost,lay down the law,walk all over,wear the trousers,sway,predominate,prevail,reign,be prevalent,be paramount,be pre-eminent,be most important,be influential,be significant,be of consequence,be of account,count,matter,signify,carry weight,bulk large