论文标题
偏斜括号的nil骨和杨 - 巴克斯特方程的多极解决方案
Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation
论文作者
论文摘要
我们研究了在偏斜括号的背景下的尼尔疗法的不同概念与对杨巴克斯特方程解决方案结构的应用之间的关系。特别是，我们考虑nihihihihihihitar nilpotent偏斜括号，这是一个重要的类，原来是对nilpotent组类别的支架理论类似物。在这种情况下，在偏斜括号的更一般环境中证明了群体理论中的几种著名定理。
We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation. In particular, we consider annihilator nilpotent skew braces, an important class that turns out to be a brace-theoretic analog to the class of nilpotent groups. In this vein, several well-known theorems in group theory are proved in the more general setting of skew braces.
