A Decomposition for the Low Dimensional Cohomology of Semidirect Product of Topological Groups

H. Sahleh

Abstract


Let $G$ be a topological group and $A$ a trivial $G$-module. Suppose $G$ is the semidirect product of a closed normal subgroup $N$ and   a subgroup $T$. In this paper we find, $H^i (G,A) ~ i=1,2$, the first and the second cohomology of $G$  in terms of its factors.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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