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| Format: | Preprint |
| Published: |
2026
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| Online Access: | https://arxiv.org/abs/2602.03080 |
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| _version_ | 1866915770328416256 |
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| author | Sangare, Birama |
| author_facet | Sangare, Birama |
| contents | In this paper we provide the conditions under which an automorphism or an antiautomorphism of a group $G$ induces an automorphism or an antiautomorphism of the $m$-conjugation quandle $\operatorname{Conj_{m}}(G),\,\, m\in \mathbb{Z} $, the core quandle $\operatorname{Core}(G)$, the generalized Alexander quandle $\operatorname{Alex}(G,ϕ)$ where $ϕ\in \operatorname{Aut}(G)$ and some others. We also construct automorphisms of these quandles that do not originate from $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03080 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Automorphisms and antiautomorphisms of quandles Sangare, Birama Group Theory 20N02, 20B27, 20D15, 20E36 In this paper we provide the conditions under which an automorphism or an antiautomorphism of a group $G$ induces an automorphism or an antiautomorphism of the $m$-conjugation quandle $\operatorname{Conj_{m}}(G),\,\, m\in \mathbb{Z} $, the core quandle $\operatorname{Core}(G)$, the generalized Alexander quandle $\operatorname{Alex}(G,ϕ)$ where $ϕ\in \operatorname{Aut}(G)$ and some others. We also construct automorphisms of these quandles that do not originate from $G$. |
| title | Automorphisms and antiautomorphisms of quandles |
| topic | Group Theory 20N02, 20B27, 20D15, 20E36 |
| url | https://arxiv.org/abs/2602.03080 |