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.2020.12.2.6200Density of Metric Small Cancellation in Finitely Presented GroupsArticleAuthors: Alex Bishop

; Michal Ferov

0000-0001-6803-1143##0000-0001-9108-1325
Alex Bishop;Michal Ferov
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
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