Homology, Homotopy and Applications

Volume 10 (2008)

Number 1

Group homology and extensions of groups

Pages: 237 – 257

DOI: https://dx.doi.org/10.4310/HHA.2008.v10.n1.a10


Ioannis Emmanouil (Department of Mathematics, University of Athens, Greece)

Inder Bir S. Passi (INSA, Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India)


Using Quillen’s description of cyclic cohomology in terms of traces on algebra extensions and Burghelea’s computation of the cyclic homology of the group algebra of a group Π, we derive a description of the homology of Π with coefficients in a field of characteristic 0 as the inverse limit of a functor on the category of extensions of Π.


group rings, cyclic homology, group homology, group extensions

2010 Mathematics Subject Classification

16S34, 19D55, 20J15

Published 1 January 2008