Geodesic
Nonabelian cohomology and finiteness theorems for integral orbits of affine group schemes
Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 727-749

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This paper develops techniques for the nonabelian cohomology $H^1(M,G)$ of a group scheme $M$ finite over a ring $A$ with values in an $A$-group $G$ on which $M$ acts. The finiteness of $H^1(M,G)$ is proved in the case when $A$ is a field of type $(F)$ or a ring of arithmetic type. From this result finiteness theorems are deduced for the decomposition of a $G(A)$ conjugacy class under intersection with the subgroup $G^M(A)$ of fixed integral points of $M$ in $G$ and the more general $G(A)$-orbits. Bibliography: 20 titles. 
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     author = {E. A. Nisnevich},
     title = {Nonabelian cohomology and finiteness theorems for integral orbits of affine group schemes},
     journal = {Izvestiya. Mathematics },
     pages = {727--749},
     publisher = {mathdoc},
     volume = {9},
     number = {4},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a2/}
}
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E. A. Nisnevich. Nonabelian cohomology and finiteness theorems for integral orbits of affine group schemes. Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 727-749. http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a2/