On the triviality and non-triviality of the automorphism group of a skew brace
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911524961910784 |
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| author | Tsang, Cindy |
| author_facet | Tsang, Cindy |
| contents | It is a simple fact that a group has a trivial automorphism group if and only if it is of order $1$ or $2$. We prove that the same holds for certain families of skew braces, and given any odd prime $p$, we construct a skew brace of order $2p^3$ that has a trivial automorphism group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_17276 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the triviality and non-triviality of the automorphism group of a skew brace Tsang, Cindy Group Theory Quantum Algebra It is a simple fact that a group has a trivial automorphism group if and only if it is of order $1$ or $2$. We prove that the same holds for certain families of skew braces, and given any odd prime $p$, we construct a skew brace of order $2p^3$ that has a trivial automorphism group. |
| title | On the triviality and non-triviality of the automorphism group of a skew brace |
| topic | Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2603.17276 |