FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 289-300

On vanishing of the first cohomology groups over separable Abelian groups

E. V. Shaposhnikova

Abstract

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Conditions of vanishing of the first cohomology groups $$H¹(F,G), where $G$ is a mixed separable Abelian group, $\Phi \; \le \; Aut\; G$, are obtained.

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Last modified: July 5, 2002