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math.GRFeb 1, 2013
48
citations (OpenAlex)
authors
  • Rémi Coulon
institutions
  • Vanderbilt University
arXiv abstractPDF
paper

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)

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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
  • 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
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