A permit is not required for pre-manufactured above-ground/on-ground pools which do not require excavation for installation (beyond leveling the ground surface). However, you need to be aware of the following for placement of such structure at your residence.
Must maintain minimum 10-foot offset from side and rear property lines behind house; Cannot place the pool or grade area in close proximity to the location of septic system tank and field lines (State Environmental Health Office: 770-443-7877); Must follow applicable code sections with respect to pool (barrier, ladder, power)
Contact Building & Permitting Division if you have questions.