Geodesic
Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory
Izvestiya. Mathematics, Tome 25 (1985) no. 3, pp. 573-599 
V. P. Platonov; V. I. Yanchevskii. Dieudonné's conjecture on the structure of unitary groups over a division ring, and Hermitian $K$-theory. Izvestiya. Mathematics, Tome 25 (1985) no. 3, pp. 573-599. http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a8/
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     title = {Dieudonn\'e's conjecture on the structure of unitary groups over a~division ring, and {Hermitian} $K$-theory},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A multiplicative theory of finite-dimensional division rings with involutions of the first kind is developed in connection with Dieudonné's conjecture, and the structure of arbitrary division rings over Henselian fields is studied. The unitary Whitehead group $UK_1(\tau,A)$ is computed for Henselian division rings $A$ with an involution $\tau$. Classes of division rings for which Dieudonné's conjecture has an affirmative answer are exhibited. Bibliography: 17 titles.

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