A generalization of the Lyndon--Hochschild--Serre spectral sequence with applications to group cohomology and decompositions of groups
| dc.creator | Kropholler, P. H. | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T05:18:18Z | |
| dc.date.available | 2026-07-07T05:18:18Z | |
| dc.description | We set up a Grothendieck spectral sequence which generalizes the Lyndon--Hochschild--Serre spectral sequence for a group extension $K\mono G\epi Q$ by allowing the normal subgroup $K$ to be replaced by a subgroup, or family of subgroups which satisfy a weaker condition than normality. This is applied to establish a decomposition theorem for certain groups as fundamental groups of graphs of Poincaré duality groups. We further illustrate the method by proving a cohomological vanishing theorem which applies for example to Thompson's group $F$. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0503514 | |
| dc.identifier | http://arxiv.org/abs/math/0503514 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74614 | |
| dc.subject | Group Theory | |
| dc.subject | 20J06; 20E08 | |
| dc.title | A generalization of the Lyndon--Hochschild--Serre spectral sequence with applications to group cohomology and decompositions of groups | |
| dc.type | text |