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In this paper, we prove the dispersive estimates and Strichartz inequalitiesfor the solution of the Schr\"{o}dinger equation related to the full Laplacianon H-type groups. This extends the results obtained by G. Furioli and A.Veneruso [Studia Math., 2004, 160: 157-178] on the Heisenberg group.

Strichartz inequalities for the Schr\"odinger equation with the full Laplacian on H-type groups