Completable two step nilpotent Lie algebras of type (2, p

A Lie algebra is called complete if its centre is zero and all its derivations are inner. A nilpotent Lie algebra is called completable if it is the maximal nilpotent ideal of a complete solvable Lie algebra. A two-step nilpotent Lie algebra is said to be of type , if dim and dim . In this paper, based on the classification result of M. Gauger, we classify two step completable complex nilpotent Lie algebras of type.