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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.
20F65 Geometric group theory
57S05 Topological properties of groups of homeomorphisms or diffeomorphisms
43A05 Measures on groups and semigroups, etc.
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