Abstract
We prove that ω-categorical dp-minimal groups are nilpotent-by-finite, a small step in the general direction of proving this for NIP ω-categorical groups. We also show that in dp-minimal definably amenable groups, f-generic global types are strongly f-generic.
Original language | English |
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Title of host publication | Groups, Modules, and Model Theory |
Subtitle of host publication | Surveys and Recent Developments |
Publisher | Springer International Publishing AG |
Number of pages | 14 |
ISBN (Electronic) | 978-3-319-51718-6 |
ISBN (Print) | 9783319517179, 9783319517186, 9783319847252 |
DOIs | |
State | Published - 4 Jun 2017 |
Keywords
- Omega-categorical groups
- Dp-minimal groups
- Definably amenable groups