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 Groups

Authors: 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.


Volume: volume 12, issue 2
Published on: September 9, 2020
Submitted on: March 15, 2020
Keywords: Mathematics - Group Theory,20F06, 20F69 (Primary) 20F05, 20F67 (Secondary)


Share

Consultation statistics

This page has been seen 183 times.
This article's PDF has been downloaded 41 times.