Mathematics – Algebraic Topology
Scientific paper
2009-11-15
Homology, Homotopy and Applications 12(2) (2010), pp. 167-210
Mathematics
Algebraic Topology
Further references added. This article is an extension of the published version
Scientific paper
We give an algebraic proof for the result of Eilenberg and Mac Lane that the
second cohomology group of a simplicial group G can be computed as a quotient
of a fibre product involving the first two homotopy groups and the first
Postnikov invariant of G. Our main tool is the theory of crossed module
extensions of groups.
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