Braces of order p2q

被引：11
|
作者：
Dietzel, Carsten [1 ]
机构：
[1] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 08期
关键词：
Left brace; set-theoretic Yang-Baxter equation; cycle set; bijective; 1-cocycle; radical ring;
D O I：
10.1142/S0219498821501401
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we classify the left braces of order p(2)q, where p,q are primes fulfilling q > p + 1. This classification includes a proof of three conjectures of Guarnieri and Vendramin concerning the number of isomorphism classes of left braces of order p2q for certain values of p,q.
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页数：24
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