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arxiv: 0912.0042 · v1 · submitted 2009-12-01 · 🧮 math.GR

Symmetric cohomology of groups in low dimension

classification 🧮 math.GR
keywords cohomologygivesymmetriccharacterizationconditionscorresponddimensionelements
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We give an explicit characterization for group extensions that correspond to elements of the symmetric cohomology $HS^2(G,A)$. We also give conditions for the map $HS^n(G,A)\to H^n(G,A)$ to be injective.

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