H-2(T, G, partial derivative) and central extensions for crossed modules

Authors
Grandjean, AR Ladra, M
Citation
Ar. Grandjean et M. Ladra, H-2(T, G, partial derivative) and central extensions for crossed modules, P EDIN MATH, 42, 1999, pp. 169-177
Citations number
13
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
ISSN journal
00130915 → ACNP
Volume
42
Year of publication
1999
Part
1
Pages
169 - 177
Database
ISI
SICI code
0013-0915(199902)42:<169:HGPDAC>2.0.ZU;2-C
Abstract
We prove in this paper that if (T, G, partial derivative) is a perfect and aspherical (Ker partial derivative = 1) crossed module, then it admits a un iversal central extension, whose kernel is the invariant H-2(T, G, partial derivative), that we introduced in [9].