Homology, Homotopy and Applications
Volume 9 (2007)
On low-dimensional homology in categories
Pages: 275 – 293
The classical Stallings-Stammbach five-term exact sequence associated with a short exact sequence of groups is shown to exist in a general categorical context. This makes it possible to establish a new result relating low-dimensional homology and central series, which extends a well known result from the theory of groups.
homology; category theory; Hopf formula; central series
2010 Mathematics Subject Classification
18G50, 20F14, 55N20