- 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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