Geodesic
The Tannaka--Artin problem and reduced $K$-theory
Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 211-243.

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We solve the old Tannaka–Artin problem, which states the following in modern terminology: is the reduced Whitehead group $SK_1(A)$ of a finite-dimensional division algebra $A$ trivial? We work out a method for computing the group $SK_1(A)$ based on a reduction to the computation of a group of special protective conorms – a new object in field theory – and we discover unexpected connections with number theory. Bibliography: 23 titles. 
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V. P. Platonov. The Tannaka--Artin problem and reduced $K$-theory. Izvestiya. Mathematics , Tome 10 (1976) no. 2, pp. 211-243. http://geodesic.mathdoc.fr/item/IM2_1976_10_2_a0/

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