有限表示群中度量小消去的密度

IF 0.1 Q4 MATHEMATICS

Groups Complexity Cryptology Pub Date : 2020-02-18 DOI:10.46298/jgcc.2020.12.2.6200

A. Bishop, Michal Ferov

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引用次数: 1

摘要

小的抵消群形成了一个有趣的类，具有许多理想的属性。一个众所周知的事实是，小的消去群是泛型的;然而，所有先前已知的关于它们泛型的结果都是渐近的，并且没有提供关于“小”群表示的信息。在本文中，我们给出了小消去表示密度的下界和上界的封闭形式公式，并将我们的结果与实验数据进行了比较。评论:18页，12个数字

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Density of Metric Small Cancellation in Finitely Presented Groups

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

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来源期刊

Groups Complexity Cryptology MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量