HNN bases and high-dimensional knots
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- by Daniel S. Silver PDF
- Proc. Amer. Math. Soc. 124 (1996), 1247-1252 Request permission
Abstract:
There exists a $3$-knot group having HNN bases of two types: bases that are arbitrarily large finitely presented and bases that are arbitrarily large finitely generated but not finitely presented. Any $n$-knot with such a group has a Seifert manifold that can be converted to a minimal one by a finite sequence of ambient $0$- and $1$-surgeries, but cannot be converted by $1$-surgeries alone.References
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Additional Information
- Daniel S. Silver
- Affiliation: Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
- MR Author ID: 162170
- Email: silver@mathstat.usouthal.edu
- Received by editor(s): May 17, 1994
- Communicated by: James West
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1247-1252
- MSC (1991): Primary 57Q45; Secondary 20E06, 20F05
- DOI: https://doi.org/10.1090/S0002-9939-96-03520-4
- MathSciNet review: 1343725