Principe de Hasse pour les espaces principaux homogènes sous les groupes classiques sur un corps de dimension cohomologique virtuelle au plus 1.
In this paper we consider proper cycles of indefinite integral quadratic forms with discriminant . We prove that the proper cycles of can be obtained using their consecutive right neighbors for . We also derive explicit relations in the cycle and proper cycle of when the length of the cycle of is odd, using the transformations and .