On cohomology rings of infinite groups |
| |
Authors: | Eli Aljadeff |
| |
Institution: | Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel |
| |
Abstract: | Let R be any ring (with 1), G a torsion free group and RG the corresponding group ring. Let be the cohomology ring associated with the RG-module M. Let H be a subgroup of finite index of G. The following is a special version of our main Theorem: Assume the profinite completion of G is torsion free. Then an element is nilpotent (under Yoneda’s product) if and only if its restriction to is nilpotent. In particular this holds for the Thompson group.There are torsion free groups for which the analogous statement is false. |
| |
Keywords: | 20J06 20E18 16S35 |
本文献已被 ScienceDirect 等数据库收录! |
|