SYMMETRIC ELEMENTS, HERMITIAN FORMS, AND CYCLIC INVOLUTIONS.

Let k be a field, K/k he a quadratic separable field extension, and A a finite dimensional central simple algebra over K. If k is global or the field of fractions of a two-dimensional excellent henselian local domain with an algebraically dosed residue field of characteristic zero und the degree of A is odd, we prove that all K/k-involutions on A are cyclic. [ABSTRACT FROM AUTHOR]