first non-abelian cohomology of topological groups ii
نویسندگان
چکیده
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.
منابع مشابه
First non-abelian cohomology of topological groups II
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-a...
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عنوان ژورنال:
journal of algebra and related topicsناشر: university of guilan
ISSN 2345-3931
دوره 2
شماره 2 2014
میزبانی شده توسط پلتفرم ابری doprax.com
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