On cohomology rings of infinite groups
| dc.creator | Aljadeff, Eli | |
| dc.date | 2005-02-24 | |
| dc.date | 2008-12-17 | |
| dc.date.accessioned | 2026-07-07T12:13:24Z | |
| dc.date.available | 2026-07-07T12:13:24Z | |
| dc.description | Let R be any ring (with 1), Γa group and RΓthe corresponding group ring. Let Ext_{RΓ}^{*}(M,M) be the cohomology ring associated to the RΓ-module M. Let H be a subgroup of finite index of Γ. The following is a special version of our main Theorem: Assume the profinite completion of Γis torsion free. Then an element ζin Ext_{RΓ}^{*}(M,M) is nilpotent (under Yoneda's product) if and only if its restriction to Ext_{RH}^{*}(M,M)$ is nilpotent. In particular this holds for the Thompson group. There are torsion free groups for which the analogous statement is false. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0502513 | |
| dc.identifier | http://arxiv.org/abs/math/0502513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210833 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Group Theory | |
| dc.title | On cohomology rings of infinite groups | |
| dc.type | text |