Geometry & Topology Monographs 1 (1998),
The Epstein Birthday Schrift,
paper no. 12, pages 261-293.
Minimal Seifert manifolds for higher ribbon knots
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.
Ribbon knots, Seifert manifolds, LOT groups
AMS subject classification.
Primary: 57Q45. Secondary: 20E06, 20F05, 57M05.
Submitted: 2 June 1997.
Published: 23 October 1998.
Notes on file formats
Department of Mathematics, Heriot-Watt University
Edinburgh EH14 4AS, Scotland
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