first non-abelian cohomology of topological groups ii
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abstract
in this paper we introduce a new definition of the first non-abelian cohomology of topological groups. we relate the cohomology of a normal subgroup $n$ of a topological group $g$ and the quotient $g/n$ to the cohomology of $g$. we get the inflation-restriction exact sequence. also, we obtain a seven-term exact cohomology sequence up to dimension 2. we give an interpretation of the first non-abelian cohomology of a topological group by the notion of a principle homogeneous space.
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Journal title:
journal of algebra and related topicsPublisher: university of guilan
ISSN 2345-3931
volume 2
issue 2 2014
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