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In this paper we develop some group theoretical methods which are shown to bevery useful for a better understanding of the properties of the Riccatiequation and we discuss some of its integrability conditions from a grouptheoretical perspective. The nonlinear superposition principle also arises in asimple way.Comment: 21 pages, Latex 2E, DFTUZ 98/2

INTEGRABILITY OF THE RICCATI EQUATION FROM A GROUP-THEORETICAL VIEWPOINT