Homogeneous quandles with abelian inner automorphism groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908428410028032 |
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| author | Saito, Takuya Sugawara, Sakumi |
| author_facet | Saito, Takuya Sugawara, Sakumi |
| contents | In this paper, we give a characterization of homogeneous quandles with abelian inner automorphism groups. In particular, we show that such a quandle is expressed as an abelian extension of a trivial quandle. Our construction is a generalization of the recent work by Furuki and Tamaru, which gives a construction of disconnected flat quandles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07383 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homogeneous quandles with abelian inner automorphism groups Saito, Takuya Sugawara, Sakumi Geometric Topology Combinatorics Group Theory 57K12, 20B25, 20N02, 05C22 In this paper, we give a characterization of homogeneous quandles with abelian inner automorphism groups. In particular, we show that such a quandle is expressed as an abelian extension of a trivial quandle. Our construction is a generalization of the recent work by Furuki and Tamaru, which gives a construction of disconnected flat quandles. |
| title | Homogeneous quandles with abelian inner automorphism groups |
| topic | Geometric Topology Combinatorics Group Theory 57K12, 20B25, 20N02, 05C22 |
| url | https://arxiv.org/abs/2403.07383 |