Geodesic
The Brauer group of quotient spaces by linear group actions
Izvestiya. Mathematics , Tome 30 (1988) no. 3, pp. 455-485

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It is proved that for a smooth compactification of a quotient space of a linear space $V$ by the action of a linear algebraic group $G$, the Artin–Mumford birational invariant $\operatorname{Br}_v(V/G)=H^3(V/G,Z)_\text{tors}$ is effectively computable in terms of the 2-dimensional group cohomology $H^2(G,Q/Z)$ of $G$; examples of groups for which the invariant $\operatorname{Br}_v(V/G)$ is nontrivial are also studied. Bibliography: 6 titles. 
@article{IM2_1988_30_3_a1,
     author = {F. A. Bogomolov},
     title = {The {Brauer} group of quotient spaces by linear group actions},
     journal = {Izvestiya. Mathematics },
     pages = {455--485},
     publisher = {mathdoc},
     volume = {30},
     number = {3},
     year = {1988},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1988_30_3_a1/}
}
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F. A. Bogomolov. The Brauer group of quotient spaces by linear group actions. Izvestiya. Mathematics , Tome 30 (1988) no. 3, pp. 455-485. http://geodesic.mathdoc.fr/item/IM2_1988_30_3_a1/