To dominate by excluding others: monopolized the conversation.
derivatives
mo·noṕo·li·zátion
noun
mo·noṕo·liźer
noun
synonyms:
monopolize, absorb, consume, engross, preoccupy These verbs mean to exclusively possess or control: a service monopolized by one company; study that absorbs all her time; was consumed by fear; engrossed herself in her reading; was preoccupied with financial worries.
The American Heritage® Dictionary of the English Language, Fourth Edition