Cellular covers of groups with free kernel
Event details
| Date | 01.03.2013 |
| Hour | 14:15 › 15:30 |
| Speaker | José Luis Rodríguez (Almería) |
| Location |
MA 10
|
| Category | Conferences - Seminars |
In this talk, we will review some results on cellular covers of groups, motivated by its counterpart in homotopy theory of spaces. Recall that an epimorphism π: G → H is called a cellular cover if it induces a bijection π*: End(G) ≅ Hom(G,H), where π*(ψ)=πψ. We pay attention to the case when H and G are cotorsion-free abelian groups (or more generally, R-modules over a cotorsion-free ring). We provide uncountably many new examples where the rank of H is 2, and the kernel of the cellular cover is free of countable rank. This extends results from Göbel-Rodríguez-Strüngmann, and Rodríguez-Strüngmann.
Links
Practical information
- Informed public
- Free
Organizer
- Kathryn Hess