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Minimal Seifert manifolds for higher ribbon knots

James Howie

Geometry & Topology Monographs 1 (1998) 261–293

DOI: 10.2140/gtm.1998.1.261

arXiv: math.GT/9810185

Abstract

We show that a group presented by a labelled oriented tree presentation in which the tree has diameter at most three is an HNN extension of a finitely presented group. From results of Silver, it then follows that the corresponding higher dimensional ribbon knots admit minimal Seifert manifolds.

Keywords

ribbon knots, Seifert manifolds, LOT groups

Mathematical Subject Classification

Primary: 57Q45

Secondary: 20E06, 20F05, 57M05

References
Publication

Received: 2 June 1997
Published: 23 October 1998

Authors
James Howie
Department of Mathematics
Heriot-Watt University
Edinburgh EH14 4AS
Scotland