Subnormal subgroups of 3-dimensional Poincaré duality groups
type: Item
instance of: scholarly article
title: Subnormal subgroups of 3-dimensional Poincaré duality groups
zbMATH Open document ID: 0695.57001
DOI: 10.1007/BF02571325
published in: Mathematische Zeitschrift
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/174207
review text: We show that if a 3-dimensional Poincaré duality group G has a nontrivial almost finitely presentable subnormal subgroup of infinite index then either G is virtually the group of a surface bundle over the circle or the subgroup is infinite cyclic and normal in G.
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20E15
zbMATH DE Number: 4138780
zbMATH Keywords: 3-dimensional Poincaré duality group
zbMATH Keywords: almost finitely presentable subnormal subgroup of infinite index
zbMATH Keywords: group of a surface bundle over the circle
author: Robert Bieri
author: Jonathan A. Hillman
reviewed by: Robert Bieri
MaRDI profile type: Publication
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OpenAlex ID: W2079662729
description: scientific article; zbMATH DE number 4138780