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We prove the classification of joinings for maximal horospherical subgroupsacting on homogeneous spaces without any restriction on the characteristic.Using the linearization technique we deduce a special case of Raghunathan'sorbit closure conjecture. In the appendix quasi-isometries of higher ranklattices in semisimple algebraic groups over fields of positive characteristicare characterized.

A joining classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman)