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On continuous cohomology of locally compact Abelian groups and bilinear maps | ||
Journal of Algebra and Related Topics | ||
مقاله 6، دوره 1، شماره 1، بهمن 2013، صفحه 67-77 اصل مقاله (304.62 K) | ||
نوع مقاله: Research Paper | ||
نویسنده | ||
H. Sahleh* | ||
University of Guilan | ||
چکیده | ||
Let $A$ be an abelian topological group and $B$ a trivial topological $A$-module. In this paper we define the second bilinear cohomology with a trivial coefficient. We show that every abelian group can be embedded in a central extension of abelian groups with bilinear cocycle. Also we show that in the category of locally compact abelian groups a central extension with a continuous section can be embedded in the second bilinear cohomology. | ||
کلیدواژهها | ||
Bilinear cohomology؛ central extension؛ nilpotent of class two | ||
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