Group theoretic aspects of negative curvature (C04)

Subject Area Mathematics
Term since 2020
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536
 

Project Description

We will continue to investigate iterated small cancellation groups. We recently gave a relatively short proof of the infinity of the free Burnside groups of sufficiently large odd exponent which is based on a few important principles well-studied in hyperbolic groups. In a next step we will develop a meta theorem based on these principles which will be applicable to a wider range of problems, in particular in the context of sharply multiply transitive groups. We will also study complexes associated to hyperbolic groups from a model theoretic perspective.
DFG Programme Collaborative Research Centres
Subproject of SFB 1442:  Geometry: Deformations and Rigidity
Applicant Institution Universität Münster
Project Head Professorin Dr. Katrin Tent