Knot quandles distinguish Suciu's ribbon knots

TL;DR

This paper demonstrates that knot quandles can distinguish Suciu's ribbon knots, which have identical knot groups, by showing their knot quandles are non-isomorphic and analyzing their types.

Contribution

It proves that knot quandles are effective invariants for differentiating Suciu's ribbon knots with identical knot groups, providing new insights into knot invariants.

Findings

Knot quandles of Suciu's ribbon knots are mutually non-isomorphic.

The types of these knot quandles are computed.

Knot quandles distinguish knots with identical groups.

Abstract

The knot quandle is an invariant of $n$-knots. In this note, we study the knot quandles of Suciu's ribbon $n$-knots, an infinite family of knots with isomorphic knot groups. We prove that their knot quandles are mutually non-isomorphic. Furthermore, we compute types of these quandles.