Dematting combs are ideal for lifting out knots and tangles as well as getting the thick undercoat. This is the first grooming tool you should reach for if your cat has a thick or partially matted coat. Wider tines are kinder. The closer together the tines the more tugging and pulling which can be not so nice.
Flea combs are of course great to assess and monitor flea problems. They are also a nice grooming tool to catch all of the fine fly away hair, remove dry flakes or dander and also clean dried food particles and the like out of the coats of old seniors who cannot groom on their own so well.