科研之友
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摘要
Motivated by the work of McCarthy and Papadopoulos for subgroups of mapping class groups, we construct domains of proper discontinuity in the compactified Outer space and in the projectivized space of geodesic currents for any "dynamically large" subgroup of Out(F(N)) (that is, a subgroup containing an atoroidal iwip). As a corollary, we prove that for N >= 3 the action of Out(F(N)) on the subset of PCurr(F(N)) consisting of all projectivized currents with full support is properly discontinuous.
- 出版日期2010
