Induction cooktops use a lot of power. A residential size induction cooktop uses 30-40 amps at 220 vac depending on size.
A small single burner countertop model uses over 10 amps at 120 vac for the one burner. So that would be more than 30 amps if it were put in a 3 burner cooktop.
That would have a very limiting effect on where you stay. In a 50 amp hookup you would be ok. But in a 30 amp hookup you could not use all burners at the same time. And you would have to carefully handle power maintenance using 1 or 2 burners at the same time as other power hogs such as AC, water heater, microwave etc.