Special hydroxysilanes, which can be obtained by reacting β-(3,4-epoxycyclohexyl)alkyltrialkoxysilanes with secondary amines, and adducts of the hydroxysilanes in the form of polymers containing silane groups. The hydroxysilanes can be produced having high purity in a simple process and are very stable in storage after production. The polymers containing silane groups that can be obtained by means of the hydroxysilanes have advantageous properties. The polymers enable moisture-curing compositions, which contain no isocyanate groups and which are suitable as elastic adhesives and sealants.