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Contracting boundaries of amalgamated free products of CAT(0) groups with applications for right-angled Coxeter groups

Karrer, Annette

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.


Volltext §
DOI: 10.5445/IR/1000129500
Cover der Publikation
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.
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