Bull. Korean Math. Soc. 2024; 61(2): 421-431
Online first article March 14, 2024 Printed March 31, 2024
https://doi.org/10.4134/BKMS.b230127
Copyright © The Korean Mathematical Society.
Toshifumi Tanaka
Gifu University
In this paper, we characterize amphicheiral 2-bridge knots with symmetric union presentations and show that there exist infinitely many amphicheiral 2-bridge knots with symmetric union presentations with two twist regions. We also show that there are no amphicheiral 3-stranded pretzel knots with symmetric union presentations.
Keywords: Symmetric union, 2-bridge knot, ribbon knot
MSC numbers: Primary 57K10; Secondary 57K31
Supported by: The author is partially supported by the Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Research(C), 2022-2024(22K03310).
2011; 48(1): 197-211
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