论文标题
Baumslag-Solitar综合体中不可授权的晶格
Incommensurable lattices in Baumslag-Solitar complexes
论文作者
论文摘要
本文涉及本地有限的2-complexes $ x_ {m，n} $，它们是Baumslag-Solitar组的组合模型$ bs（m，n）$。我们表明，在许多情况下，本地紧凑的组aut（$ x_ {m，n} $）包含不可固定的统一晶格。我们构建的晶格还接收同构的Cayley图，并有限地呈现，无扭转和连贯。
This paper concerns locally finite 2-complexes $X_{m,n}$ which are combinatorial models for the Baumslag-Solitar groups $BS(m,n)$. We show that, in many cases, the locally compact group Aut($X_{m,n}$) contains incommensurable uniform lattices. The lattices we construct also admit isomorphic Cayley graphs and are finitely presented, torsion-free, and coherent.
