On vanishing of the first cohomology groups over separable Abelian groups

E. V. Shaposhnikova

Tomsk State University

Abstract: 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.

UDC: 512.541

Received: 01.07.1997

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