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arXiv · 2002.07356

Density of Metric Small Cancellation in Finitely Presented Groups

Alex Bishop·Michal Ferov
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Abstract

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.

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Alex Bishop, Michal Ferov. 2020-02-18. Density of Metric Small Cancellation in Finitely Presented Groups. https://doi.org/10.46298/jgcc.2020.12.2.6200

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