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Negatively curved groups and the convergence property. II: Transitivity in negatively curved groups. (English) Zbl 0847.20032
Summary: Let \(G\) be a negatively curved group. This paper continues the classification of limit points of \(G\) that began in part I [cf. the preceding review Zbl 0847.20031]. A probability measure is constructed on the space at infinity and with respect to this measure almost every point at infinity is shown to be line transitive.
MSC:
20F65 Geometric group theory
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms
43A05 Measures on groups and semigroups, etc.
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