monopolize
verb
[ məˈnɒpəlʌɪz ]
• (of an organization or group) obtain exclusive possession or control of (a trade, commodity, or service).
• "they instituted press censorship and monopolized the means of communication"
Similar:
corner,
control,
take over,
gain control/dominance over,
have sole/exclusive rights in,
exercise a monopoly over,
engross,