To kill a stump it is easy, apply any poison, ammonium sulpamate is the prefered method..usually you peel back the bark around the stump (or the cork cambrium) and apply poison.....the other way is just prune any growth back, the tree will run out of energy in the long term and die....the best way of getting rid of it is, as has been as suggested grinding it out...this is a good site for info on stump grinders...www.stumpgrinding.eu.com