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amphicheiral knot

Proceedings of the Edinburgh Mathematical Society (1)

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1 results

Prime amphicheiral knots with free period 2
Part of
- Low-dimensional topology
Luisa Paoluzzi, Makoto Sakuma
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 63 / Issue 1 / February 2020

Published online by Cambridge University Press:

30 August 2019, pp. 105-138
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We construct prime amphicheiral knots that have free period 2. This settles an open question raised by the second-named author, who proved that amphicheiral hyperbolic knots cannot admit free periods and that prime amphicheiral knots cannot admit free periods of order > 2.