Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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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.

The amphicheiral 2-bridge knots with symmetric union presentations

Toshifumi Tanaka

Gifu University

Abstract

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).

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