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.

Comment: 18 pages, 12 figures

https://doi.org/10.46298/jgcc.2020.12.2.6200
Source: arXiv.org:2002.07356
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)
Licence: Attribution 4.0 International (CC BY 4.0)
Funding:
    Source : OpenAIRE Graph
  • Discovery Projects - Grant ID: DP160100486; Funder: Australian Research Council (ARC); Code: DP160100486

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