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arXiv · 0911.2861

The third cohomology group classifies crossed module extensions

Sebastian Thomas
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Abstract

We give an elementary proof of the well-known fact that the third cohomology group H^3(G, M) of a group G with coefficients in an abelian G-module M is in bijection to the set Ext^2(G, M) of equivalence classes of crossed module extensions of G with M.

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Sebastian Thomas. 2009-11-15. The third cohomology group classifies crossed module extensions. https://arxiv.org/abs/0911.2861

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