Geometric group theory and connections to
Lead Research Organisation:
University of Southampton
Department Name: School of Mathematics
Abstract
Leary and Minasyan have recently discovered a family of groups with a
surprising set of properties: the groups are CAT(0) and some of them
are not biautomatic and do not have Wise's property. Sam Hughes will
be investigating further properties of these groups. In particular,
comparing them up to isomorphism and up to abstract commensurability
should be interesting.
surprising set of properties: the groups are CAT(0) and some of them
are not biautomatic and do not have Wise's property. Sam Hughes will
be investigating further properties of these groups. In particular,
comparing them up to isomorphism and up to abstract commensurability
should be interesting.
Organisations
Publications
Hughes S
(2022)
A note on the rational homological dimension of lattices in positive characteristic
in Glasgow Mathematical Journal
Hughes S
(2022)
Cohomology of Fuchsian groups and non-Euclidean crystallographic groups
in manuscripta mathematica
Hughes S
(2022)
Higher topological complexity of hyperbolic groups
in Journal of Applied and Computational Topology
Hughes S
(2022)
Lattices in a product of trees, hierarchically hyperbolic groups and virtual torsion-freeness.
in The bulletin of the London Mathematical Society
Hughes S
(2021)
On the equivariant K- and KO-homology of some special linear groups
in Algebraic & Geometric Topology
Hughes S
(2023)
Quasi-isometry invariance of relative filling functions (with an appendix by Ashot Minasyan)
in Groups, Geometry, and Dynamics
Chatterji I
(2021)
The first -betti number and groups acting on trees
in Proceedings of the Edinburgh Mathematical Society
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/R513325/1 | 01/10/2018 | 30/09/2023 | |||
| 2127970 | Studentship | EP/R513325/1 | 01/10/2018 | 30/09/2021 | Sam Hughes |