Geodesic
Dieudonn\'e'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

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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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     author = {V. P. Platonov and V. I. Yanchevskii},
     title = {Dieudonn\'e's conjecture on the structure of unitary groups over a~division ring, and {Hermitian} $K$-theory},
     journal = {Izvestiya. Mathematics },
     pages = {573--599},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1985_25_3_a8/}
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V. P. Platonov; V. I. Yanchevskii. Dieudonn\'e'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/