Abstract

A multiplicative theory of finite-dimensional division rings with involutions of the first kind is developed in connection with Dieudonn?'s conjecture, and the structure of arbitrary division rings over Henselian fields is studied. The unitary Whitehead group UK1(?,A) is computed for Henselian division rings A with an involution ?. Classes of division rings for which Dieudonn?'s conjecture has an affirmative answer are exhibited. Bibliography: 17 titles.

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