Some geometric properties of metric ultraproducts of finite simple groups |
| |
Authors: | Andreas Thom John Wilson |
| |
Institution: | 1.Institut für Geometrie,Technische Universit?t Dresden,Dresden,Germany;2.Christ’s College,Cambridge,United Kingdom |
| |
Abstract: | In this article we prove some previously announced results about metric ultraproducts of finite simple groups. We show that any non-discrete metric ultraproduct of alternating or special linear groups is a geodesic metric space. For more general non-discrete metric ultraproducts of finite simple groups, we are able to establish path-connectedness. As expected, these global properties reflect asymptotic properties of various families of finite simple groups. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|