Density of Metric Small Cancellation in Finitely Presented Groups

Title: Density of Metric Small Cancellation in Finitely Presented Groups
Creator: Bishop, Alex; Ferov, Michal
Relation: journal of Groups, Complexity, Cryptology Vol. 12, Issue 2, p. 1.1-1.18
Publisher Link: http://dx.doi.org/10.46298/jgcc.2020.12.2.6200
Publisher: Episciences.org
Resource Type: journal article
Date: 2020
Description: 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.
Subject: finitely presented groups; random groups; small canellation; group theory
Identifier: http://hdl.handle.net/1959.13/1454395
Identifier: uon:44928
Identifier: ISSN:1869-6104
Language: eng
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