The third cohomology group classifies crossed module extensions

Details The third cohomology group classifies crossed module extensions The third cohomology group classifies crossed module extensions

2009-11-15

arxiv.org/abs/0911.2861v2

Mathematics

K-Theory and Homology

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Scientific paper

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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