Classification of generalized Alexander quandles
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913375213060096 |
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| author | Higashitani, Akihiro Kamada, Seiichi Kosaka, Jin Kurihara, Hirotake |
| author_facet | Higashitani, Akihiro Kamada, Seiichi Kosaka, Jin Kurihara, Hirotake |
| contents | The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01074 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of generalized Alexander quandles Higashitani, Akihiro Kamada, Seiichi Kosaka, Jin Kurihara, Hirotake Geometric Topology Group Theory Primary, 20N02, Secondary: 20B05, 53C35 The aim of this paper is to provide a new characterization of isomorphism classes of generalized Alexander quandles in terms of the underlying groups and their automorphisms. This extends the previous result [4, Theorem 1.4]. Additionally, we compute the number of generalized Alexander quandles up to quandle isomorphism arising from groups up to order 127 and their group automorphisms. |
| title | Classification of generalized Alexander quandles |
| topic | Geometric Topology Group Theory Primary, 20N02, Secondary: 20B05, 53C35 |
| url | https://arxiv.org/abs/2406.01074 |