The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two

Takuya Sakasai; Kokoro Tanaka

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arXiv · 2509.07395

The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two

Takuya Sakasai·Kokoro Tanaka

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Abstract

Jab{\l}onowski proved that the knot quandles of Suciu's $n$-knots, which share isomorphic knot groups, are mutually non-isomorphic, and Yasuda later gave a different proof. In this paper, we present yet another proof of this result by analyzing the conjugacy classes of certain automorphisms of the free group of rank two.

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Takuya Sakasai, Kokoro Tanaka. 2025-09-09. The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two. https://arxiv.org/abs/2509.07395

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