Alex Bishop ; Michal Ferov - Density of Metric Small Cancellation in Finitely Presented Groups

gcc:6200 - journal of Groups, complexity, cryptology, September 9, 2020, Volume 12, Issue 2 - https://doi.org/10.46298/jgcc.2020.12.2.6200
Density of Metric Small Cancellation in Finitely Presented GroupsArticle

Authors: Alex Bishop ORCID; Michal Ferov ORCID

    Small cancellation groups form an interesting class with many desirable properties. It is a well-known fact that small cancellation groups are generic; however, all previously known results of their genericity are asymptotic and provide no information about "small" group presentations. In this note, we give closed-form formulas for both lower and upper bounds on the density of small cancellation presentations, and compare our results with experimental data.


    Volume: Volume 12, Issue 2
    Published on: September 9, 2020
    Accepted on: September 9, 2020
    Submitted on: March 15, 2020
    Keywords: Mathematics - Group Theory,20F06, 20F69 (Primary) 20F05, 20F67 (Secondary)
    Funding:
      Source : OpenAIRE Graph
    • Discovery Projects - Grant ID: DP160100486; Funder: Australian Research Council (ARC); Code: DP160100486

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