对称quandles的齐次表示
A homogeneous presentation of symmetric quandles
摘要：
困境是一种代数结构，其公理对应于纽结理论的里德迈斯特移动。S. Kamada引入了具有良好对合的quandle的概念，这后来被称为对称quandle。我们感兴趣的是对称量子点的代数结构。给定一个群$G$，一个元素$z$和一个子群$H$，可以得到quandle。D.乔伊斯指出，每一个困境都同构于这些困境的不相交的联合。给定群$G$，$G$中的元素$z,r$和某个子群$H$，构造了一个对称quandle.此外，我们表明，每一个对称的quandle是同构的不相交的联盟，这样的quandles。
英文摘要：
A quandle is an algebraic structure whose axioms correspond to the Reidemeister moves of knot theory. S. Kamada introduced the notion of a quandle with a good involution, which is later called a symmetric quandle. We are interested in the algebraic structure of symmetric quandles. Given a group $G$, an element $z$ and a certain subgroup $H$, one can obtain the quandle. D. Joyce showed that every quandle is isomorphic to the disjoint union of such quandles. In this paper, given a group $G$, elements $z,r$ in $G$ and a certain subgroup $H$, we construct a symmetric quandle. Futhermore, we show that every symmetric quandle is isomorphic to the disjoint union of such quandles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
