Subgroup separability and 3-manifold groups
type: Item
instance of: scholarly article
title: Subgroup separability and 3-manifold groups
zbMATH Open document ID: 0711.57002
DOI: 10.1007/BF02571384
published in: Mathematische Zeitschrift
publication date: 1992-06-25T00:00:00Z
full work available at URL: https://eudml.org/doc/174265
review text: We prove a conjecture of Jaco that the peripheral subgroups of a 3- manifold group are separable. By considering an example of Burns, Karrass and Solitar we give examples of some 3-manifold groups which are amalgamated free products of Lerf 3-manifold groups but are not themselves Lerf. Using the same technique, we give the first explicit geometric examples of a Z-amalgamated free product of two Lerf groups which is not Lerf.
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 57N10
Mathematics Subject Classification ID: 20F34
zbMATH DE Number: 1047
zbMATH Keywords: separable groups
zbMATH Keywords: peripheral subgroups of a 3-manifold group
zbMATH Keywords: 3-manifold groups
zbMATH Keywords: amalgamated free products
zbMATH Keywords: Lerf 3-manifold groups
zbMATH Keywords: Z-amalgamated free product of two Lerf groups
author: D. D. Long
author: Graham Niblo
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1047