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1. SYMMETRIC ELEMENTS, HERMITIAN FORMS, AND CYCLIC INVOLUTIONS.

Author

Tikhonov, SergeyV. and Yanchevskiĭ, VyacheslavI.

Subjects
MATHEMATICAL symmetry, HERMITIAN forms, QUADRATIC fields, FRACTIONS, MATHEMATICAL domains
Abstract

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]

Published
2015
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