Pure Maths Colloquium - Small cancellation theory over Burnside groups - Dominik Gruber (ETH Zürich) Seminar

Event details

Abstract: I will discuss how combinatorics and geometry work together to provide a new and easy-to-apply tool for constructing infinite bounded torsion groups with prescribed properties. As applications, we show the unsolvability of numerous decision problems in classes of bounded torsion groups, we obtain a Rips construction for bounded torsion groups, and we construct Gromov monsters with bounded torsion. Our proof relies on acylindrical actions of (classical or graphical) small cancellation groups on Gromov hyperbolic spaces and the theory of periodic quotients of groups admitting such actions. This is joint work with Rémi Coulon.