In [2] an internal homology theory of crossed modules was defined (CCG-homology for short), which is very much related to the homology of the classifying spaces of crossed modules ([5]). The goal of this note is to construct a low-dimensional homology exact sequence corresponding to a central extension of crossed modules, which is quite similar to the one constructed in [3] for group homology.
@article{urn:eudml:doc:38757,
title = {Ganea term for CCG-homology of crossed modules.},
journal = {Extracta Mathematicae},
volume = {15},
year = {2000},
pages = {231-235},
zbl = {0981.18013},
mrnumber = {MR1792992},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38757}
}
Pirashvili, Teimuraz. Ganea term for CCG-homology of crossed modules.. Extracta Mathematicae, Tome 15 (2000) pp. 231-235. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38757/