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Small cancellation theory and Burnside problem

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arxiv 1302.6933 v2 pith:574RJMGS submitted 2013-02-27 math.GR

Rémi Coulon This is my paper · ORCID
classification math.GR
keywords burnsidecancellationgroupssmalltheoryapproachdelzantdetail
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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.

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  1. A simple acylindrical recipe for non-split characteristic $2$ sharply $k$-transitive actions and their generalizations

    math.GR 2026-08 conditional novelty 7.0 of 10

    An acylindrically hyperbolic group satisfying the hyperbolic Theta-seed conditions admits a sharply Theta-transitive action, yielding many non-split sharply 2- and 3-transitive examples.

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