HNN bases and highdimensional knots
Author:
Daniel S. Silver
Journal:
Proc. Amer. Math. Soc. 124 (1996), 12471252
MSC (1991):
Primary 57Q45; Secondary 20E06, 20F05
MathSciNet review:
1343725
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Abstract 
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Abstract: There exists a 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 knot with such a group has a Seifert manifold that can be converted to a minimal one by a finite sequence of ambient  and surgeries, but cannot be converted by surgeries alone.
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Additional Information
Daniel S. Silver
Affiliation:
Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
Email:
silver@mathstat.usouthal.edu
DOI:
http://dx.doi.org/10.1090/S0002993996035204
PII:
S 00029939(96)035204
Received by editor(s):
May 17, 1994
Communicated by:
James West
Article copyright:
© Copyright 1996
American Mathematical Society
