Proceedings of the American Mathematical Society

Author(s): Daniel S. Silver
Journal: Proc. Amer. Math. Soc. 124 (1996), 1247-1252.
MSC (1991): Primary 57Q45; Secondary 20E06, 20F05
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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 - and $1$

-surgeries, but cannot be converted by $1$

-surgeries alone.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 57Q45, 20E06, 20F05

Daniel S. Silver
Affiliation: Department of Mathematics and Statistics, University of South Alabama, Mobile, Alabama 36688
Email: silver@mathstat.usouthal.edu

DOI: 10.1090/S0002-9939-96-03520-4
PII: S 0002-9939(96)03520-4
Received by editor(s): May 17, 1994
Communicated by: James West
Copyright of article: Copyright 1996, American Mathematical Society

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