Small cancellation theory and Burnside problem

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.

arXiv comment76 pages, 6 figures

References in corpus (1)

• Asphericity and small cancellation theory for rotation family of groups

Cited by in corpus (17)

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• Product set growth in groups and hyperbolic geometry
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• Small cancellation theory over Burnside groups
• Boundaries of Dehn fillings
• Group cubization (with an appendix by Mikael Pichot)
• Product set growth in Burnside groups
• Farrell-Jones via Dehn fillings
• Infinite periodic groups of even exponents
• A Cartan-Hadamard type result for relatively hyperbolic groups
• Height, Graded Relative Hyperbolicity and Quasiconvexity {\it (with Corrigendum)}
• Growth and order of automorphisms of free groups and free Burnside groups
• A note on morphisms to wreath products
• Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups
• Large deviation principles for non-elementary random walks on hyperbolic spaces