Small cancellation theory and Burnside problem
arXiv:1302.6933 · doi:10.1142/S0218196714500143
Abstract
In these notes we detail the geometrical approach of small cancellation theory used by T. Delzant and M. Gromov to provide a new proof of the infiniteness of free Burnside groups and periodic quotients of torsion-free hyperbolic groups.
76 pages, 6 figures
Cited by in corpus (16)
- Expanders, exact crossed products, and the Baum-Connes conjecture
- Partial periodic quotient of groups acting on a hyperbolic space
- Product set growth in groups and hyperbolic geometry
- Deciding Isomorphy using Dehn fillings, the splitting case
- Small cancellation theory over Burnside groups
- Boundaries of Dehn fillings
- Group cubization (with an appendix by Mikael Pichot)
- Product set growth in Burnside groups
- Infinite periodic groups of even exponents
- Farrell-Jones via Dehn fillings
- Growth and order of automorphisms of free groups and free Burnside groups
- Height, Graded Relative Hyperbolicity and Quasiconvexity {\it (with Corrigendum)}
- A Cartan-Hadamard type result for relatively hyperbolic groups
- Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups
- Large deviation principles for non-elementary random walks on hyperbolic spaces
- A note on morphisms to wreath products