Residual properties of non-positively curved groups
Lead Research Organisation:
University of Cambridge
Department Name: Pure Maths and Mathematical Statistics
Abstract
I am a researcher in geometric group theory. Actions of groups on geometric objects tell us about properties of the groups. In my PhD project, I attempt to translate properties of free groups and other
hyperbolic groups into the context of non-positively curved groups. Specifically, I would like to explore residual properties such as residual finiteness and subgroup separability.
Examples of such problems are:
- determine conditions of residual finiteness for a multiple HNN extension of a free group
- examine typical finite completion of a pre-cover of a right-angled Artin group.
Special cube complexes are particularly useful in this area.
hyperbolic groups into the context of non-positively curved groups. Specifically, I would like to explore residual properties such as residual finiteness and subgroup separability.
Examples of such problems are:
- determine conditions of residual finiteness for a multiple HNN extension of a free group
- examine typical finite completion of a pre-cover of a right-angled Artin group.
Special cube complexes are particularly useful in this area.
Organisations
People |
ORCID iD |
| Henry Wilton (Primary Supervisor) | |
| Michal Buran (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/N509620/1 | 01/10/2016 | 30/09/2022 | |||
| 1992790 | Studentship | EP/N509620/1 | 01/10/2017 | 30/09/2020 | Michal Buran |