English

Infinite periodic groups of even exponents

Group Theory 2021-01-15 v4 Metric Geometry

Abstract

We give a new proof that free Burnside groups of sufficiently large even exponents are infinite. The method is very flexible and can also be used to study (partially) periodic quotients of any group which admits an action on a hyperbolic space satisfying a weak form of acylindricity.

Keywords

Cite

@article{arxiv.1810.08372,
  title  = {Infinite periodic groups of even exponents},
  author = {Rémi Coulon},
  journal= {arXiv preprint arXiv:1810.08372},
  year   = {2021}
}
R2 v1 2026-06-23T04:45:28.506Z