The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918139701231616 |
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| author | Sakasai, Takuya Tanaka, Kokoro |
| author_facet | Sakasai, Takuya Tanaka, Kokoro |
| contents | Jabłonowski 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_07395 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two Sakasai, Takuya Tanaka, Kokoro Geometric Topology Group Theory Primary 57K12, 20F34. Secondary 57K45, 20F12 Jabłonowski 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. |
| title | The knot quandles of Suciu's ribbon $n$-knots and automorphisms on the free group of rank two |
| topic | Geometric Topology Group Theory Primary 57K12, 20F34. Secondary 57K45, 20F12 |
| url | https://arxiv.org/abs/2509.07395 |