Which preposition to use with monopolising

by Occurrences 1%

Until 1885, the rationally trained teacher of gymnastics was unknown in England, and the physical training of the girls in this country was monopolised by dancing mistresses and drill sergeants, most of whom were ignorant of the laws which govern the human body.

for Occurrences 1%

The truth was that the movement, in its many sides, had almost monopolised for the time both the intelligence and the highest religious earnestness of the University,[60] and either in curiosity or inquiry, in approval or in condemnation, all that was deepest and most vigorous, all that was most refined, most serious, most high-toned, and most promising in Oxford was drawn to the issues which it raised.

Which preposition to use with  monopolising