%0 Journal Article %A Ancochea Bermúdez, José María %A Campoamor Stursberg, Otto-Rudwig %T Completable filiform Lie algebras %D 2003 %@ 0024-3795 %U https://hdl.handle.net/20.500.14352/50575 %X We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer n there exists a solvable complete Lie algebra whose second cohomology group with values in the adjoint module has dimension at least n. %~