You might want to get other unit owners on your side - I'm sure they will be horrified to find this out........go to an open board or association meeting or send out notices to other residents. If you can all put pressure on management, you might get somewhere faster.
Now, here's the thing..............you might need to read your bylaws, though, as in my townhome community's bylaws, I am responsible for any pest infestation.
As far as controlling the problem in your unit, as Ron mentioned, that is difficult. You can make a visual inspection and caulk any small openings - the little critters only need 1/4 inch to squeeze through. You can buy pellet bait (poison) that comes in little containers, and you just leave them hidden under a couch, or under the sink or behind the fridge. The mice are attracted to the bait as food, eat it and go off to die peacefully in their sleep (that's how I'd like to think it happens! ). Home depot sells this poison and other contraptions.
A call to a local pest control company is needed for sure.