Metric Geometry of Locally Compact Groups

The main aim of this book is the study of locally compact groups from a geometric perspective, with an emphasis on appropriate metrics that can be defined on them. The approach has been successful for finitely generated groups and can be favorably extended to locally compact groups. Parts of the book address the coarse geometry of metric spaces, where ''coarse'' refers to that part of geometry concerning properties that can be formulated in terms of large distances only. This point of view ...