Tubular groups, 1-relator groups and nonpositive curvature
Accepted version
Peer-reviewed
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Repository DOI
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
1793-6500
Volume Title
29
Publisher
World Scientific Pub Co Pte Ltd
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All rights reserved