Ptolemy-Thompson群$T^*$是异步可梳的
The braided Ptolemy-Thompson group $T^*$ is asynchronously combable
摘要：
辫状Ptolemy-Thompson群$T^*$是Thompson群$T$在无限多股上通过全辫群$B_{\infty}$的扩展。这个群是Greenberg和Sergiescu所考虑的非循环扩张的一个简化版本，可以看作是某个无限平面的一个映射类群。在以前的论文中，我们表明，$T^*$是可扩展的。我们的主要结果是$T^*$（和$T$）是异步可梳的。证明方法受Lee Mosher关于映射类群的自动性证明的启发。
英文摘要：
The braided Ptolemy-Thompson group $T^*$ is an extension of the Thompson group $T$ by the full braid group $B_{\infty}$ on infinitely many strands. This group is a simplified version of the acyclic extension considered by Greenberg and Sergiescu, and can be viewed as a mapping class group of a certain infinite planar surface. In a previous paper we showed that $T^*$ is finitely presented. Our main result here is that $T^*$ (and $T$) is asynchronously combable. The method of proof is inspired by Lee Mosher's proof of automaticity of mapping class groups.
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。
