Geodesic
On vanishing of the first cohomology groups over separable Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 1, pp. 289-300 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions of vanishing of the first cohomology groups $\mathbb H^1(\Phi,G)$, where $G$ is a mixed separable Abelian group, $\Phi\leq\mathop{\mathrm{Aut}}G$, are obtained. 
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E. V. Shaposhnikova. On vanishing of the first cohomology groups over separable Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 1, pp. 289-300. http://geodesic.mathdoc.fr/item/FPM_2002_8_1_a21/

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