Algebraic and Geometric Topology 1 (2001),
paper no. 11, pages 231-241.
Infinite Order Amphicheiral Knots
In answer to a question of Long, Flapan constructed an example of a
prime strongly positive amphicheiral knot that is not slice. Long had
proved that all such knots are algebraically slice. Here we show that
the concordance group of algebraically slice knots contains an
infinitely generated free subgroup that is generated by prime strongly
positive amphicheiral knots. A simple corollary of this result is the
existence of positive amphicheiral knots that are not of order two in
Knot, amphicheiral, concordance, infinite order
AMS subject classification.
Submitted: 17 December 2000.
Accepted: 12 April 2001.
Published: 16 April 2001.
Notes on file formats
Department of Mathematics, Indiana University
Bloomington, IN 47405, USA
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