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Abstract
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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
concordance.
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Keywords
knot, amphicheiral, concordance, infinite order
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Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27
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Publication
Received: 17 December 2000
Accepted: 12 April 2001
Published: 16 April 2001
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