The limit set of subgroups of a class of arithmetic groups
Abstract:
While lattices in semi-simple Lie groups are studied very well, only little is known about discrete subgroups of infinite covolume. The main class of examples are Schottky groups. Here we investigate some new examples.
We consider nonelementary subgroups of arithmetic groups in $PSL(2,C)^q\timesPSL(2,R)^r$ with $q+r>1$ and their limit set. We give a necessary and sufficient condition for the projective limit set to be a point. Furthermore, we study the topology of the whole limit set.
We consider nonelementary subgroups of arithmetic groups in $PSL(2,C)^q\timesPSL(2,R)^r$ with $q+r>1$ and their limit set. We give a necessary and sufficient condition for the projective limit set to be a point. Furthermore, we study the topology of the whole limit set.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Hochschulschrift |
| Publikationsjahr | 2009 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-140243 KITopen-ID: 1000014024 |
| Verlag | Universität Karlsruhe (TH) |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Algebra und Geometrie (IAG) |
| Prüfungsdaten | 04.11.2009 |
| Schlagwörter | Fuchsian groups, arithmetic groups, limit set |
| Referent/Betreuer | Leuzinger, E. |