论文标题

与通用群体相关的右角建筑是否独特?

Is the right-angled building associated to a universal group unique?

论文作者

Beßmann, Lara

论文摘要

普遍组是保存右角建筑物的自动形态的类型组的子组,因此与该建筑物相关联。一个问题是,这个普遍的群体是否可以在同一类型的不同右角建筑物上使用紧凑的开放式稳定器来表现室内室。我们回答这个问题,并定义了与不同的右角建筑物相关的两个通用群体,这些建筑物是拓扑组。

A universal group is a subgroup of the group of type preserving automorphisms of a right-angled building and hence associated to this building. A question is then if this universal group can act chamber-transitively and with compact open stabilisers on a different right-angled building of the same type. We answer this question and define two universal groups associated to different right-angled buildings which are isomorphic as topological groups.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源