Contracting boundaries of amalgamated free products of CAT(0) groups with applications for right-angled Coxeter groups
Abstract (englisch):
In this thesis, we study topological spaces associated to CAT(0) groups called contracting boundaries. We examine contracting boundaries of amalgamated free products of CAT(0) groups and focus on situations where totally disconnected contracting boundaries are involved. We use our insights to investigate which right-angled Coxeter groups have totally disconnected contracting boundaries.
| Zugehörige Institution(en) am KIT | Fakultät für Mathematik (MATH) |
| Publikationstyp | Hochschulschrift |
| Publikationsdatum | 16.02.2021 |
| Sprache | Englisch |
| Identifikator | KITopen-ID: 1000129500 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 248 S. |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Algebra und Geometrie (IAG) |
| Prüfungsdatum | 17.03.2020 |
| Schlagwörter | CAT(0), Morse boundary, contracting boundary, right-angled Coxeter group, cube complex |
| Referent/Betreuer | Schwer, P. |