Title: K_g is not finitely generated Authors: Daniel Biss and Benson Farb Author's email addresses: daniel@math.uchicago.edu, farb@math.uchicago.edu Included files: curve1.eps and curve3.eps Abstract: We prove that for any genus g>1, the subgroup K_g of the mapping class group of a closed genus g surface generated by Dehn twists about separating curves is not finitely generated.