Well i tried what everyone says to do, lime it. Let me explain what I did. I spread 2 ton per acre in alternating strips 50 ft wide. One strip no lime , one strip lime. One year later I could not tell any difference except the grass was thicker, the second year I saw a reduction but not near a drastic as I had hoped. I tried pulling an aerway along with the lime, it worked better but still sage. The only sure fire way is to till the soil(ever seen broomsedge in soybeans or corn?). The next best is to aerate the lime into the soil,fertilize heavy,drill grass seed thick, and pray for rain. Good grass will over compete and push the sedge back. You must remenber broomsedge is the native grass in Tennessee, if nature is left alone she will revert to native grass. Pasture and hay is a crop we must manage like such if we are to win the battle.