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arXiv · 2603.17276

On the triviality and non-triviality of the automorphism group of a skew brace

Cindy Tsang
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Abstract

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.

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Cindy Tsang. 2026-03-18. On the triviality and non-triviality of the automorphism group of a skew brace. https://doi.org/10.1515/jgth-2026-0054

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