About a question of Gateva-Ivanova and Cameron on square-free set-theoretic solutions of the Yang-Baxter equation

被引:5
作者
Castelli, Marco [1 ]
Catino, Francesco [1 ]
Pinto, Giuseppina [1 ]
机构
[1] Univ Salento, Dipartimento Matemat & Fis Ennio De Giorgi, Via Prov Lecce Arnesano, I-73100 Lecce, Italy
关键词
Yang-Baxter equation; set-theoretic solution; cycle set; EXTENSIONS;
D O I
10.1080/00927872.2020.1713328
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we introduce a new sequence to find a new estimation of the cardinality N-m of the minimal involutive square-free solution of level m. As an application, using the first values of we improve the estimations of N-m obtained by Gateva-Ivanova and Cameron and Lebed and Vendramin. Following the approach of the first part, in the last section we construct several new counterexamples to the Gateva-Ivanova's Conjecture.
引用
收藏
页码:2369 / 2381
页数:13
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