Examples of finitely presented groups with strong fixed point properties and property (T)
Abstract
We construct a finitely presented group with property (T) which can not act on on reasonable spaces. Such group is constructed using an generalization of Hall embedding theorem, where property (T) is added at the expense of weakening the simplicity requirement.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Finite Group Theory Research
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 30 January 2026
- Document type
- Preprint