Publikation: Dissertationsschrift

On the geometry of finite index subgroups of groups acting properly on locally finite trees and polyhedral complexes

Grunddaten
Abstract
Autoren
Einrichtung

Grunddaten

Titel	On the geometry of finite index subgroups of groups acting properly on locally finite trees and polyhedral complexes
Erscheinungsjahr	2019
Verlag	Universität Rostock
Verlagsort	Rostock
Seitenzahl	97
Publikationsform	Druckschrift
Publikationsart	Dissertationsschrift
Sprache	Englisch
Letzte Änderung	01.08.2019 06:04:44
Bearbeitungsstatus	durch UB Rostock abschließend validiert
Dauerhafte URL	http://purl.uni-rostock.de/fodb/pub/61485
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Abstract

Let G be a group acting properly on a simply connected manifold. There is a fundamental domain DG for that action. The map, which assigns to each subgroup of finite index its fundamental domain D yields a correspondence between coverings of DG of finite degree and finite index subgroups of G. We are interested in the question how the branching points behave under the transition from DG to its finite covers. This work presents an approach which allows to solve such questions in a purely group theoretical framework. This approach is applied to a concrete example.

Autor

Brehm, Albrecht

Einrichtung

MNF/Institut für Mathematik (IfMA)