Tame combing与几乎凸性条件
Tame combing and almost convexity conditions
摘要：
我们给出了第一个例子的群体，承认一个驯服的结合与线性径向驯服功能就任何选择的有限介绍，但这不是最低几乎凸的标准生成集。也就是说，我们显式地构造了Thompson群F和Baumslag-Solitar群BS（1，p）的这种组合，其中p \ge为3。为了使这个建设汤普森的群F，我们显着扩大的理解凯莱复杂的这个群体相对于标准的有限介绍。特别是，我们描述了一个准定线集的正常形式和组合分类的安排2细胞相邻的边缘不在于正常形式的路径。
英文摘要：
We give the first examples of groups which admit a tame combing with linear radial tameness function with respect to any choice of finite presentation, but which are not minimally almost convex on a standard generating set. Namely, we explicitly construct such combings for Thompson's group F and the Baumslag-Solitar groups BS(1, p) with p \ge 3. In order to make this construction for Thompson's group F, we significantly expand the understanding of the Cayley complex of this group with respect to the standard finite presentation. In particular we describe a quasigeodesic set of normal forms and combinatorially classify the arrangements of 2-cells adjacent to edges that do not lie on normal form paths.
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。
