Killing animals which have become a nuisance

In our building there is a feral cat. Is it permissible to kill it?

Praise be to Allaah. 

If a cat or similar animal is known to be a nuisance and aggressive, and a man kills it when it is acting aggressively for his own protection, he does not owe any compensation for doing so. It is like when a man kills an attacker in self-defence. And Allaah knows best.