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Tubular groups, 1-relator groups and nonpositive curvature

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Button, JO 

Abstract

jats:pWe show (using results of Wise and of Woodhouse) that a tubular group is always virtually special (meaning that it has a finite index subgroup embedding in a RAAG) if the underlying graph is a tree. We also adapt Gardam and Woodhouse’s argument on tubular groups which double cover 1-relator groups to show there exist 1-relator groups which are CAT(0) but not residually finite.</jats:p>

Description

Keywords

Tubular group, graph of groups, nonpositively curved

Journal Title

International Journal of Algebra and Computation

Conference Name

Journal ISSN

0218-1967
1793-6500

Volume Title

29

Publisher

World Scientific Pub Co Pte Ltd

Rights

All rights reserved