On the second cohomology group of a simplicial group
Algebraic Topology
2011-03-31 v2 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.0911.2864,
title = {On the second cohomology group of a simplicial group},
author = {Sebastian Thomas},
journal= {arXiv preprint arXiv:0911.2864},
year = {2011}
}
Comments
Further references added. This article is an extension of the published version