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ABSTRACT
In this paper we give a simple characterization of the isomorphy classes of involutions of with k any field of characteristic not 2. We also classify the isomorphy classes of involutions for k algebraically closed, the real numbers, the
-adic numbers and finite fields. We determine in which cases the corresponding fixed point group H is k -anisotropic. In those cases the corresponding symmetric k -variety consists of semisimple elements.
ACKNOWLEDGMENTS
First author partially supported by N.S.A. Grant MDA904-97-1-0092.
