On the outer automorphism group of a hyperbolic group
type: Item
instance of: scholarly article
title: On the outer automorphism group of a hyperbolic group
zbMATH Open document ID: 1015.22007
DOI: 10.1007/BF02785862
author: Koji Fujiwara
published in: Israel Journal of Mathematics
publication date: 2003-07-16T00:00:00Z
review text: Sei \(S\) eine kompakte, zusammenhängende Fläche (allenfalls mit Rand). Sei \(\Gamma\) ein irreduzibles Gitter in einer zusammenhängenden halbeinfachen Liegruppe vom Rang mindestens 2. Das Hauptergebnis der vorliegenden Arbeit ist nun der Beweis der Endlichkeit von \(\text{Im}(h)\) eines Homomorphismus von \(\Gamma\) in die Abbildungsklassengruppe \(\text{Mod}(S)\). In Verbindung mit Ergebnissen von Sela bzw. Stallings ergeben sich damit analoge Resultate für die Gruppe der äußeren Automorphismen hyperbolischer Gruppen anstelle von \(\text{Mod}(S)\).
reviewed by: Heinrich Reitberger
Mathematics Subject Classification ID: 22E40
Mathematics Subject Classification ID: 57M50
Mathematics Subject Classification ID: 20F28
zbMATH DE Number: 1850614
zbMATH Keywords: discrete subgroups of Lie groups
zbMATH Keywords: hyperbolic group
zbMATH Keywords: lattices
zbMATH Keywords: semisimple Lie groups
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02785862
OpenAlex ID: W2084561141
description: scientific article; zbMATH DE number 1850614