论文标题
虚拟汤普森的小组
Virtual Thompson's group
论文作者
论文摘要
对于虚拟结理论，虚拟编织组是通过概括编织组来定义的。证明可以通过闭合虚拟辫子获得任何虚拟链接。另一方面，由于琼斯等人的工作，众所周知，任何（方向）链接都是由汤普森（Thompson）的$ f $元素构建的。在本文中，我们定义了汤普森组$ f $的``虚拟版本''，并证明了任何虚拟链接都是从组的一个元素构建的。
For virtual knot theory, the virtual braid group was defined by generalizing the braid group. It was proved that any virtual link can be obtained by the closure of a virtual braid. On the other hand, due to work by Jones et al., it is known that any (oriented) link is constructed from an element of Thompson's group $F$. In this paper, we define the ``virtual version'' of Thompson's group $F$ and prove that any virtual link is constructed from an element of the group.
